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sleet_krkn [62]
3 years ago
8

Someone Please Help Quickly! Its an Easy Question

Mathematics
1 answer:
Paul [167]3 years ago
7 0

Answer:

y=\frac{2}{3}x-6

Step-by-step explanation:

Use the slope-intercept form:

y=mx+b

m is the slope and b is the y-intercept. Looking at the graph, you can find the y-intercept. The y-intercept is the point where x equals 0:

b=-6

y-intercept=(0,-6)

To find the slope, take any two points from the line:

(6,-2)(3,-4)

Use the slope formula for when you have two points:

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}

The rise over run is the change in the y-axis over the change of the x-axis. Insert the appropriate values:

(6(x_{1}),-2(y_{1})\\(3(x_{2}),-4(y_{2})

\frac{-4-(-2)}{3-6}

Simplify parentheses (two negatives makes a positive):

\frac{-4+2}{3-6}

\frac{-2}{-3}

Simplify (two negatives make a positive):

m=\frac{2}{3}

The slope is \frac{2}{3} and the y-intercept is -6. Insert these into the equation:

y=\frac{2}{3}x-6

Finito.

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