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

Question

thesmartone · Answer

Hi! :)

thesmartone · Answer

Slope-intercept form is y = mx + b

where m is slope

you are given a slope of 3/4

so plug that in first :)

anonymous · Answer

ok.

anonymous · Answer

what do i do after that?

thesmartone · Answer

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

anonymous · Answer

i plugged it in.

thesmartone · Answer

so what did you get? :)

anonymous · Answer

y=3/4x+b

anonymous · Answer

so what now?

thesmartone · Answer

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

thesmartone · Answer

that is the form of (x,y)

so x = 5
y = -4

plug it in

-4 = (3/4)(5) + b

solve for b :)

thesmartone · Answer

$\sf\Large -4 = (\frac{3}{4})(5) + b$

Solve for b :)

anonymous · Answer

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

thesmartone · Answer

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