Question

The line with x-intercept of 10 and y- intercept of -2.

Answer 1

Answer:

y = $\frac{1}{5}$ 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 = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ = x- intercept (10, 0) and (x₂, y₂ ) = y- intercept (0, - 2)

m = $\frac{-2-0}{0-10}$ = $\frac{-2}{-10}$ = $\frac{1}{5}$

The y- intercept c = - 2

y = $\frac{1}{5}$ x - 2 ← equation of line