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Find the equation of the line through the points (3,6) and (-1, 1).

Question 1 / 1 Find the equation of the line through the points (3,6) and (-1, 1).-example-1

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Answer:

Now that the values of m (slope) and b (y-intercept) are known, substitute them into y=mx+b . to find the equation of the line.

y=5/4x+9/4

Explanation:

Use y=mx+b to calculate the equation of the line, where m represents the slope and b represents the y-intercept.

To calculate the equation of the line, use the y=mx+b format.

Slope is equal to the change in y over the change in x , or rise over run.

m=(change in y)/(change in x)

The change in x

is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).

m=(y2−y1)/(x2−x1)

Substitute in the values of x and y into the equation to find the slope.

m=1−(6)/−1−(3)

Finding the slope m.

m=5/4

Find the value of b

using the formula for the equation of a line.

b=9/4

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