Find the equation of the line passing through the points

Question

points P(-3, 2) and Q(5, -2).  Write the equation in slope-intercept form.

Answer 1

Slope Intercept Form is y = mx + b

 

(x,y) is a coordinate points

m is the slope also known as rise over run or (y₂ - y₁ )/( x₂ - x₁)

b is the y intercept

 

Slope will be ( -2 - 2 )/ (5 - (-3)) = -4/8 = -1/2

 

This leaves y = (-1/2)x + b  by plugging in the slope into the slope intercept form

 

Thus, 2 = (-1/2)(-3) + b by plugging in point P (x,y)

 

So,     2 = 3/2 + b  by multiplication

 

Then,  b = 1/2 by subtracting

 

Final answer is y = (-1/2)x + 1/2