Question

Use the graph to find the slope and y-intercept to write

the equation in slope-intercept form.
The graph shown is y=
x+
​

Answer 1

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

EXPLANATION

The graph passes through (-2,0) and (0,-1).

The slope can be calculated using the formula,

`m= (rise)/(run)`

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

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

The y-intercept is -1.

The equation in slope-intercept form is

y=mx + c

We substitute the slope and y-intercept to obtain

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

Answer 2

Slope = -1/2

Y-intercept is y = -1

Equation of the line:
`y=-(1)/(2)x-1`

Explanation:

The slope intercept form is y = mx + b

Where, m is slope, and

b is y-intercept

We need 2 points to find these. One point is (-2,0) and second point is (2,-2).

THe formula for slope, m, is m =
`(y_2-y_1)/(x_2-x_1)`

Plugging the points, we get the slope to be:

`(y_2-y_1)/(x_2-x_1)\\=(-2-0)/(2--2)\\=(-2)/(4)\\=-(1)/(2)`

y-intercept is the point where the line crosses the y axis. Looking at the graph, y-intercept is y = -1.

Now we plug slope and y-intercept into the slope-intercept form to get:

`y=mx+b\\y=-(1)/(2)x-1`