Question

Write the equation of the line that passes through each pair of points in slope-intercept form.
(-5,-4) and (15,0)

Answer 1

It is simple first take out slope m=(y2-y1)/(x2-x1)
m=(15+5)/(0+4)
=20/4
=5
m=5
use this equation since you do not have the value of c (y-y1)=m(x-x1)
I am taking (-5,-4) as my co-ordinates so my x1=-5 and y2=-4
m=5
y+4=5(x+5)
y+4=5x+20
y=5x+20-4
y=5x+16
therefore slope intercept form is y=5x+16
with m=5 and c=16 (y-intercept)