Find the slope and y-intercept of the line with equation y – 7 = 3(x – 4).
1. Find the slope and y-intercept of the line with equation y – 7 = 3(x – 4).
Answer:
slope =
−
3
4
y intercept =
7
4
Explanation:
3x + 4y = 7
4y = -3x +7
y =
−
3
4
x +
7
4
comparing with y=mx+c
we get,
m= slope =
−
3
4
c = y intercept =
7
4
3x +4y = 7
3
7
x +
4
7
y =
7
7
3
7
x +
4
7
y = 1
x
7
3
+
y
7
4
= 1
comparing with
x
a
+
y
b
= 1
we get,
x intercept =
7
3
y intercept =
7
4
[tex]y = 3x - 12 + 7 \\ slope = 3 \\ y \: intercept \: x = 0 \\ y = 3(0) - 5 \\ (0. - 5)[/tex]
2. Find the equation of the line passing through the point (6,3) that is perpendicular to the line 4x−5y=−10. Step 1: Find the slope of the line 4x−5y=−10.What would the perpendicular slope be?Step 2: Use the slope to find the y-intercept of the perpendicular line.Step 3: Write the equation of the line that passes through the point (6,3) that is perpendicular to the line 4x−5y=−10
Find the equation of the line passing through the point (6,3) that is perpendicular to the line 4x - 5y = -10?
Solution :
4x - 5y = -10
- 5y = 4x - 10
Divide both sides by -5
y = (4/-5)x - (10/-5)
y = (-4/5)x + 2
From the slope intercept form we get
m = - 4/5
The slope of a perpendicular is a negative inverse of - 4/5
m = (5/4)
Slope intercept form for the perpendicular line is
y = (5/4) x +b
Solve for b using (6, 3)
3 = (5/4) (6) + b
3 = 30/4 + b
b = 3 - 30/4
b = (12 - 30)/4
b = -18/4
b = -9/2
So the perpendicular line is y = (5/4)x - 9/2
The equation of the line passing through the point (6,3) that is perpendicular to the line 4x-5y=-10 is y = (5/4)x - 9/2.
3. Which equation represents the standard enthalpy change of formation of water .....
Jawaban:
equation represents the standard enthalpy change of formation of water
is 2H2(g)+O2(g)→2H2O(l)
4. find an equation for each line.Then write your answer in the form Ax+By+C=0 a. With y-intercept 3 and slope 2 b.With y-intercept 5 and slope 0
Explicitly, the equation of straigh line is y = mx + c, with m is slope and c is the intercept value of y axist a) if c = 3 and m = 2 y = 2x + 3 or 2x - y + 3 = 0 b) if c = 5 and m = 0 y = 5
5. Which one the present continuous form of the sentences below
Kalimat nya tidak ada ?
# Kata keterangan waktu untuk present continuous tense =
* Now = Sekarang
* At the moment = Sekarang
# Di dalam bahasa Indonesia, kata kerja the present continuous tense diterjemahkan dengan SEDANG .....,
misalnya =
I AM SWIMMING
= SAYA SEDANG BERENANG.
# Rumus kalimat aktif the present continuous tense=
(+) Subject - Is / Am / Are - Verb Ing
(-) Subject - Is / Am / Are - Not - Verb Ing
(?) Is / Am / Are - Subject - Verb Ing ?
I am standing now
He is not singing at the moment
Are you working now ?
# Rumus kalimat pasif the present continuous tense
(+) Subject - Is / Am / Are - Being - Verb 3
(-) Subject - Is / Am / Are - Not - n Being - Verb 3
(?) Is / Am / Are - Subject - Being - Verb 3 ?
A new dress is being chosen by me now
The students are not being taught by the teacher at the moment
Are you being helped by them now ?
6. Given that the equation of the line representing each of the following linear graphs is in the form y=m+c, find the gradient m and state the y-intercept c.
Jawaban:
c.m+c, cari gradien m dan nyatakan perpotongan y c.
7. Let y+2x=3 be the equation of the line which meets the curve 2xsquare -3xy=14. Find the coordinates of the points of intersection of the line and the curve.
the intersect points are (-7/8 , 19/4) and (2,-1)
8. I need to know how to get the slope intercept form
[tex]a.)\ 9y - 4x = 5.....y=mx+b\\ \\9y=4x+5\\ \\y= \frac{4}{9}x+ \frac{5}{9}\\ \\ \text{The slope-intercept form is}\ m=\frac{4}{9}\\ \\y-intercept\ (b) \to When\ x=0\\ \\y= \frac{4}{9}(0)+ \frac{5}{9}=\frac{5}{9} \to (0,\frac{5}{9})\\ \\x-intercept \to When\ y=0\\ \\0= \frac{4}{9}x+ \frac{5}{9}.....multiplied\ by\ 9\\ \\0=4x+5 \\4x=-5 \\x=- \frac{5}{4} \to (-\frac{5}{4},0)[/tex]
[tex]b.)\ 5x+y=15\\ \\y=-5x+15\\ \\\text{The slope-intercept form is}\ m=(-5)\\ \\y-intercept\ (b) \to When\ x=0 \\ \\ y=-5x+15 \\ y=-5(0)+15 \\ y=15..........................(0,15) \\ \\ x-intercept \to When\ y=0\\ \\0=-5x+15 \\ 5x=15 \\ x=3.............................(3,0)[/tex]
***Hopefully Helped***
9. Which one of the followings has the correct form of plural nouns?choose the right option from the choices below....
Yang mana dari yang berikut ini yang memiliki bentuk kata benda jamak yang benar? Pilih opsi yang tepat dari pilihan di bawah ini ... 0 0
10. the equation of the line through the points (1,5) and (2,3) is?
Penjelasan dengan langkah-langkah:
itu jawabannya
please make the best ok
11. 4) Which of the following represents all the possible values of x that satisfy the equation below? X X x − 3 2x 2 *
Nilai x memenuhi persamaan yaitu x = 0 atau x = 4. Soal ini berkaitan dengan materi mencari nilai x dari suatu persamaan.
Penjelasan dengan langkah-langkahDiketahui :
Koreksi soal, mungkin maksud Anda persamaan x/(x-3) = 2x/2
Ditanyakan :
Solusi dari permasalahan tersebut
Jawab :
Langkah 1
x / (x - 3) = 2x / 2
Jika dipindah ruas akan menjadi :
x . 2 = 2x . (x – 3)
Selanjutnya kita lakukan operasi
2x = [tex]2x^{2}[/tex] – 6x
0 = [tex]2x^{2}[/tex] – 8x
0 = 2x (x – 4)
x = 0 atau x = 4
Jadi, x yang memenuhi adalah x = 0 atau x = 4
Pelajari Lebih LanjutMateri tentang mencari nilai x dari suatu persamaan brainly.co.id/tugas/26215307
#BelajarBersamaBrainly #SPJ1
12. The coordinates of X- intercept and Y-intercept of line 2y + 3x - 6 = 0 respectively are...
2y + 3x - 6 = 0 kalau salah bilang sama saya
13. find the equation of the straight line which passes through the point (-2,4) and is parallel to the line y=2x +5.
y = 2x + 5
m = 2
y - b = m(x - a)
y - 4 = 2(x -(-2))
y - 4 = 2(x + 2)
y - 4 = 2x + 4
y = 2x + 4 + 4
y = 2x + 8
14. What is y- intercept point of the graph below?
Jawaban:
(0,-6)
Penjelasan dengan langkah-langkah:
ingat bahwa y- intercept point (titik potong sumbu y) adalah titik yang memotong sumbu y (vertikal) dan titik bertemunya garis di x=0
lokasinya pada fungsi kuadrat adalah (0,c)
misal...
x² - 2x + 3
a = 1
b = -2
c=3
maka titik potong sumbu y adalah (0, 3)
--------
di grafik, titik potong sumbu y berada di (0,-6)
15. Which of the following represents the number two tenths in decimal form?a. 0.20000 c. 0.002000b. 0.40000d. 2.00000
Jawaban:
A: two tenths is equal to zero point two
16. 1) What is the y-intercept of the quadratic equation below? * y = x2 - 6x + 9
Penjelasan dengan langkah-langkah:
titik potong persamaan kuadrat
y = x² - 6x + 9
- titik potong terhadap sumbu y, x = 0
y = 0² + 6(0) + 9
y = 9
titik potongnya (0, 9)
- titik potong terhadap sumbu x, y = 0
x² - 6x + 9 = 0
(x - 3)(x - 3) = 0
x = 3
titik potongnya (3, 0)
17. Find the equation of the straight line with slope 2 passing through (-3, 4) .
Jawaban:
semoga bisa membantu ya
Penjelasan dengan langkah-langkah:
[tex]y - y1 = m(x - x1) \\ y - 4 = 2(x - ( - 3)) \\ y - 4 = 2x + 6 \\ y = 2x + 6 + 4 \\ y = 2x + 10 \\ 2x - y + 10 = 0[/tex]
18. find the equation of the straight line which has a gradient of 2 and which passes through the point (2,1).
y-y1=m(x-x1)
y-1=2(x-2)
y=2x-4+1
y=2x-3
mungkin gitu(?)
19. The point M is the mid-point of the line joining the points (3. 7) and (-1, 1). Find the equation of the line through M which is parallel to the line y/3 + y/2 = 1
Jawaban:
y = 4
Penjelasan dengan langkah-langkah:
titik tengah M { (-1+3)/2 , (1+7)/2} , M (1 , 4)
y/3 + y/2 = 1
y = 6/5
garis sejajar melalui M adalah y = 4
20. which graph represents the solution of the inequality -12x > 36
Jawaban:
the working and the answer are shown in the pic.
semangat belajar;))
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