Find an equation for the line with the given properties Expr

Find an equation for the line with the given properties. Express the equation in slope-intercept from. Containing the points P = (-5, 4) and Q = (-4, 2) What is the equation of the line? y = (Simplify your answer. Use integers or fractions for any numbers in the expression.)

Solution

P (-5,4) and Q (-4,2)

slope = (2 -4)/(-4 -(-5)) = -2/1 = -2

Slope intercept form : y = mx +c

y = -2x +c .find c using any one point:

4 = -2(-5) +c ----> c = 4 -10 =-6

y = -2x -6