Question

What is the equation, in point-slope form, for a line that goes through (4, 5) and (-3, -1)?

Answer 1

y= 1/2x+3

Explanation:

point slope form: y=mx+b

(4,5) (-3, -1)

First you have to find the slope (m).

`(y2-y1)/(x2-x1) \\\\(5-4)/(-1+3) \\\\(1)/(2)`

so now insert the numbers into the equation y=mx+b

5=1/2*4+b

5=2+b

b=3

so now that you know b

y=1/2x+3