Question

Find the equation of the linear function represented by the table below in slope-intercept form.

Answer 1

Answer:

y = 8x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, - 8) and (x₂, y₂ ) = (2, 8) ← 2 ordered pairs from the table

m = $\frac{8-(-8)}{2-0}$ = $\frac{8+8}{2}$ = $\frac{16}{2}$ = 8

The line crosses the y- axis at (0, - 8 ) ⇒ c = - 8

y = 8x - 8