gamerbeta507
Answered

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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 +
.

Sagot :

MrRoyal

Answer:

[tex]m = -\frac{1}{2}[/tex]

[tex]y\ intercept = -1[/tex]

[tex]y = -\frac{1}{2}x -1[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-2,0)[/tex]

[tex](x_2,y_2) = (0,-1)[/tex]

Required

Determine the slope and y intercept from graph

To calculate the slope, we have:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{-1-0}{0 - (-2)}[/tex]

[tex]m = \frac{-1}{0 +2}[/tex]

[tex]m = -\frac{1}{2}[/tex]

The y intercept is when [tex]x = 0[/tex]

So,

[tex]y\ intercept = -1[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives

[tex]y = -\frac{1}{2}(x - (-2)) + 0[/tex]

[tex]y = -\frac{1}{2}(x - (-2))[/tex]

[tex]y = -\frac{1}{2}(x +2)[/tex]

[tex]y = -\frac{1}{2}x -\frac{1}{2}*2[/tex]

[tex]y = -\frac{1}{2}x -1[/tex]

See attachment for graph

View image MrRoyal

Answer:

The graph shown is y = -1/2

x +-1 .

Step-by-step explanation:

did on edge

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