Intermediate Algebra

Question

Find a linear function f such that f(-3)=5, and f(0)=7. And f(2)

Answer 1

Since f(-3)=5, that equates to the point (-3, 5)

Since f(0)=7, that equates to the point (0, 7)

To find the line that goes through two points, first find the slope by using m = (y₂ - y₁)/(x₂ - x₁). The y-intercept is given (0, 7) so b = 7.

Plug the m and the b into y = mx + b. Once you get the equation, plug in 2 for x to find f(2)