Question

Write the equation of a line in slope-intercept form that goes through the points (-4, 3) and (-5, 1).

Answer 1

Y=ax+b                                              y=ax+b
3=-4a+b                                             1=-5a+b

-5a+b=1
-4a+b=3₋
-a=-2
a=2 

-4a+b=3
-8+b=3
b=11

so,    y=2x+11                                  

Answer 2

The slope in this equation equals 2