Question

write an equation in point-slope form for the line through the given point with the given slope. (8, -3); m= -1/4

Answer 1

Your answer would be y = (-1/4)x - 1

Seeing as they give us the slope, all we have to is find the y intercept of the line. We can do this by substituting in the coordinates (8, -3), and using the 8 as x and the -3 as y.

This gives us:

-3 = (-1/4 × 8) + c

-3 = -8/4 + c

-3 = -2 + c

c = -1

So therefore the final answer is y = (-1/4)x - 1

I hope this helps!