Question

What is the slope-intercept form of the equation of a line that passes through (5, -4) and has a slope of 3/4?

Answer 1

Hi! :)

Answer 2

Slope-intercept form is y = mx + b

where m is slope

you are given a slope of 3/4

so plug that in first :)

Answer 3

ok.

Answer 4

what do i do after that?

Answer 5

so first plug it in and then I'll go over that :)

Answer 6

i plugged it in.

Answer 7

so what did you get? :)

Answer 8

y=3/4x+b

Answer 9

so what now?

Answer 10

now we plug in the point (5,-4)

Answer 11

that is the form of (x,y)

so x = 5
y = -4

plug it in

-4 = (3/4)(5) + b

solve for b :)

Answer 12

\(\sf\Large -4 = (\frac{3}{4})(5) + b\)

Solve for b :)

Answer 13

but the choices i have are:
A)y=-3/4x-1/4
B)y=3/4x+1/4
C)y=3/4x-31/4
D)y=3/4x+31/4

Answer 14

first solve it for b, and then we can get the answer