Question

a line passes through (1,-5) and(-3,7) write an equation for the line in point slope form rewrite the equation in slope intercept form​

Answer 1

y+5 = -3(x-1) point slope form

y = -3x-2 slope intercept form

Explanation:

First we need to find the slope

m = (y2-y1)/ (x2-x1)

m = (7--5)/(-3-1)

= (7+5)/(-3-1)

= 12/-4

= -3

The slope is -3

Then we can use point slope form to write an equation

y-y1 = m(x-x1)

y--5 = -3(x-1)

y+5 = -3(x-1)

This is in point slope form

Distribute

y+5 = -3x+3

Subtract 5 from each side

y+5-5 = -3x +3-5

y = -3x-2

This is in slope intercept form