Answer:
y = [tex]\frac{1}{5}[/tex] x - 2
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 = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ = x- intercept (10, 0) and (x₂, y₂ ) = y- intercept (0, - 2)
m = [tex]\frac{-2-0}{0-10}[/tex] = [tex]\frac{-2}{-10}[/tex] = [tex]\frac{1}{5}[/tex]
The y- intercept c = - 2
y = [tex]\frac{1}{5}[/tex] x - 2 ← equation of line
