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

\[y=mx+b\]

Answer 2

@tylermcmullen23 do you think you can show me how to set it up with the numbers i got because i dont understand how to?

Answer 3

sure

Answer 4

the slope given goes in place of the "m" variable. so now y=3/4x+b

Answer 5

in order to find b (y intercept) you have to use point slope form and solve for y.
\[y-y _{1}=m(x-x _{1})\]

Answer 6

replace y_1 with 4 and m with 3/4 and x_1 with 5 so that now, y+4=3/4x-5

Answer 7

subtract the 4 from both sides to get y by itself: y=3/4x-9