Write a linear function in slope-intercept form with the given values. f(0)=6, f(3)=-3

Answer 1

 You are given two points, (0,6) and (3,-3), so use the two-point formula for the equation of a line:

y - y₁ = ( (y₂ - y₁) / (x₂ - x₁) ) (x - x₁)

y - 6 = ( -9 / 3 ) (x - 0)

y - 6 = -3x

y = -3x + 6 This is: y = mx+b

Answer 2

Slope-Intercept form: y = mx + b, where m is the slope and b is the y-intercept (where x = 0)

You are given the x and y dimensions for 2 points. Plug these into the general form to create 2 equations where m and b are the unknowns. Solve this pair using the one of the standard methods.