Question

Use the graph to find the slope and y-intercept to write the equation in slope-intercept form.

On a coordinate plane, a line goes through points (negative 2, 0) and (0, negative 1).

The graph shown is y =
x +
.

Answer 1

The graph shown is y = -1/2

x +-1 .

Explanation:

did on edge

Answer 2

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

`y\ intercept = -1`

`y = -(1)/(2)x -1`

Explanation:

Given

`(x_1,y_1) = (-2,0)`

`(x_2,y_2) = (0,-1)`

Required

Determine the slope and y intercept from graph

To calculate the slope, we have:

`m = (y_2 - y_1)/(x_2 - x_1)`

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

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

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

The y intercept is when
`x = 0`

So,

`y\ intercept = -1`

The equation is then calculated using:

`y = m(x - x_1) + y_1`

This gives

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

`y = -(1)/(2)(x - (-2))`

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

`y = -(1)/(2)x -(1)/(2)*2`

`y = -(1)/(2)x -1`

See attachment for graph