Question

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

Answer 1

Answer:

y= 1/2x+3

Step-by-step explanation:

point slope form: y=mx+b

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

First you have to find the slope (m).

$\frac{y2-y1}{x2-x1} \\\\\frac{5-4}{-1+3} \\\\\frac{1}{2}$

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