Question

How to write the equation of the line that goes through (–4, 1) and (–5, –3) in

Slope–Intercept Form.

Answer 1

Answer: y=4x+17

Explanation:

First, find the slope. -3-1/-5+4=4

So then our equation is y=4x+b

Substitute a point into the equation to find the value of b (y-intercept)

I'll do (-4,1)

1=-16+b

b=17

So then your final answer is y=4x+17

Answer 2

y = 4x + 17

Hope this helps!

Explanation:

y = mx + b

Slope ( m ) =
`(y_(2) - y_(1) )/(x_(2) -x_(1) )`

Slope =
`(-3 - 1)/(-5 - ( -4 ))` =
`(-4)/(-1)` = 4

y = 4x + b : ( -4, 1 ) : (1) = 4(-4) + b : 1 = -16 + b : b = 17

Putting it all together, you get y = 4x + 17