Question

Which is an equation in slope-intercept form for the line passing through (5, 1) and (–4, 7) ??

A.
2/3x + 13/3

B.
-2/3x - 13/3

C.
-2/3x + 13/3

D.
2/3x - 13/3

help ??

Answer 1

slope intercept form is y=mx+b
m is slope, b is y-intercept.

first, let's find m using two points.
m = (y₂-y₁)/(x₂-x₁) = (7 - 1)/(-4 - 5) = 6 / -9 = -2/3

now, y = -2/3x + b

to find b, put (5, 1) or (-4, 7) into the equation above.
let's put (5, 1) into y = -2/3x + b
1 = -2/3*5 + b
1 = -10/3 + b
1 + 10/3 = -10/3 + b - 10/3
13/3 = b

the answer is,
y = -2/3x + 13/3

slope is -2/3, y-intercept is 13/3.



if you are still confused, i want you to follow the link below that explains the concept of slope intercept form clearly.
http://www.brightstorm.com/math/algebra/...

Answer 2

Use the formula \[m=\frac{y_2-y_1}{x_2-x_1}\] to find the slope, and then use the coordinates of one of the point to find y-intercept (b).

Answer 3

okay , thank you !!