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 = [tex]\frac{2+1}{5-10}[/tex] = [tex]\frac{3}{-5}[/tex] = - [tex]\frac{3}{5}[/tex]
Note the point (0, 5) is on the y- axis → c = 5
y = - [tex]\frac{3}{5}[/tex] x + 5 ← equation representing the function
