Answer:
B
Step-by-step explanation:
Since the relationship is linear then the slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, - 1) and (x₂, y₂ ) = (10, 1) ← 2 ordered pairs from the table
m = [tex]\frac{1+1}{10-5}[/tex] = [tex]\frac{2}{5}[/tex]
The point (0, - 3 ) indicates c = - 3 , then
y = [tex]\frac{2}{5}[/tex] x - 3 ( multiply through by 5 to clear the fraction )
5y = 2x - 15 ( subtract 2x from both sides )
5y - 2x = - 15 → B
