Slope-Intercept

Question

Can someone help me with the below question.

 

Find the slope-intercept form of the line which passes through the given points.

 

P=(-5, -10)    Q=(5, 20)

Answer 1

P=(-5, -10)    Q=(5, 20)

 

The slope intercept form is  y = mx + b

 

The slope  m = (y₂-y₁)/(x₂-x₁) = (20-(-10)/(5-(-5)) = 30/10 = 3

 

Initially we have:  y = 3x + b

 

We need to find b.  We know the line passes thru (-5,-10) so

put those values in for x and y and solve for b

 

-10 = 3(-5) + b

-10 = -15 + b

5 = b

 

Your line is   y = 3x + 5