Question

A line passes through the points (8,9) and (-2,4) .

(a) What is the slope of the line? Show your work

(b) Write the equation of the line in point-slope form. Show your work

(c) Write the equation of the line in slope-intercept form. Show your work.

Answer 1

a) Y1-Y2/X1-X2
9-4/8-(-2) = 5/10= 1/2

b) 1/2x+b=y <-- plug in a point
1/2(-2)+b=4 <--plugged in (-2,4)
-1+b=4 <-- simplify/solve
b=5

c) 1/2x+5=y