Question

7. Write the slope-intercept form of the equation of the line graphed below.​

Answer 1

The answer to your question is
`y = (-1)/(2) x - 1`

Explanation:

Process

1.- Get to points of the line

A (-2, 0)

B (0, -1)

2.- Find the slope of the line

Slope = m =
`(y2 - y1)/(x2 - x1)`

Substitution

m =
`(-1 - 0)/(0 + 2) = (-1)/(2)`

3.- Find the equation of the line

y - y1 = m(x - x1)

Substitution

y - 0 = -1/2(x + 2)

Simplification

y = -1/2x - 1