Write an equation in slope-intercept form for the linear function f with the values f(- 2) = 3 and f(0) = 5.

Answer 1

(-2,3) (0,5) 5 is the y intercept = b

slope = (5-3)/(0--2) = 2/2 =1=m

y=mx +b is general form of the linear equation, m=1, b=5

y=x + 5 is the equation through the given points

Answer 2

Two points are given (-2,3) and (0,5)

The slope is change_in_y/change_in_x = (5-3)/(0 - -2) = 2/2 = 1 = m

y-y₀ = m(x-x₀)

y-5 = x-0

y = x + 5