Through: ( -2, 5) slope: - 4

Question

Could you do it step by step so I could fully understand thanks much appreciated.

Answer 1

Greetings! Lets solve this shall we ?

So, we must find the equation of a line passing through the given point (-2,5) which possesses the slope m = -4. Lets begin!

We must utilize the point-slope formula to create this line! The point-slope formula yields

y - y1 = m ( x - x1), where (x1,y1) = (-2,5) and m = -4. Lets plug everything in and solve for y ! Hence,

y - 5 = (-4)(x - (-2))

y - 5 = (-4)(x+2)...................Distribute the -4 inside to get

y - 5 = -4x - 8.................Now add 5 to both sides to get

y = -4x - 3

I hope this helped!