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max2010maxim [7]
2 years ago
15

Write the equation of the line in fully simplified slope-intercept form.​

Mathematics
1 answer:
Aneli [31]2 years ago
4 0

Answer:

y = -\frac{1}{5}x -1

Step-by-step explanation:

Given

The attached graph

Required

Determine the line equation

First, list out two points from the graph

(x_1,y_1) = (-5,0)

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

Next, calculate the slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{-1-0}{0 -(-5)}

m = \frac{-1}{0 +5}

m = -\frac{1}{5}

The equation in slope intercept form is:

y = m(x - x_1) + y_1

This gives:

y = -\frac{1}{5}(x - (-5)) + 0

y = -\frac{1}{5}(x +5)

Open bracket

y = -\frac{1}{5}x -1

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