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Akimi4 [234]
3 years ago
12

What is the slope intercept form of the equation for the line?

Mathematics
1 answer:
Leni [432]3 years ago
5 0

The slope intercept form is:

y=mx+b

Where is m the slope of the line and b the intercept with the y-axis.

To find the slope, take any two points from the table provided. For example:

(1, 1/5)

(3, 1)

So:

m = \frac{1- 1/5}{3-1}

m = \frac{2}{5}

Now we find b substituting any point of the table in the equation:

y_0 = \frac{2}{5}x_0 + b

We substitute the poiunt (3, 1) for example:

1 = \frac{2}{5}(3) + b

Now we solve for b:

b = 1 -\frac{6}{5}\\\\b = -\frac{1}{5}

Finally, the equation is:

y = \frac{2}{5}x -\frac{1}{5}

The answer is the last option

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