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

Answer:

Slope = -1/2

Y-intercept is y = -1

Equation of the line: $y=-\frac{1}{2}x-1$

Step-by-step 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 = $\frac{y_2-y_1}{x_2-x_1}$

Plugging the points, we get the slope to be:

$\frac{y_2-y_1}{x_2-x_1}\\=\frac{-2-0}{2--2}\\=\frac{-2}{4}\\=-\frac{1}{2}$

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:

$y=mx+b\\y=-\frac{1}{2}x-1$

Answer 2

ANSWER

$y = - \frac{1}{2} x - 1$

EXPLANATION

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

The slope can be calculated using the formula,

$m= \frac{rise}{run}$

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

$m = - \frac{1}{2}$

The y-intercept is -1.

The equation in slope-intercept form is

y=mx + c

We substitute the slope and y-intercept to obtain

$y = - \frac{1}{2} x - 1$