Question

The table shows a linear function.

Answer 1

Answer:

see explanation

Step-by-step explanation:

A linear equation in slope- intercept form is

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

Calculate m using the slope formula using any 2 points from the table.

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (10, - 1) and (x₂, y₂ ) = (5,2)

m = $\frac{2+1}{5-10}$ = $\frac{3}{-5}$ = - $\frac{3}{5}$

Note the point (0, 5) is on the y- axis → c = 5

y = - $\frac{3}{5}$ x + 5 ← equation representing the function