Problem

Question Watch video What is an equation of the line that passes through the points $(-8,1)$ and $(-7,0)$ ?

Solution

Step 1 :Calculate the slope of the line using the formula (y2 - y1) / (x2 - x1).

Step 2 :Substitute the given points into the formula to get m = (0 - 1) / (-7 - (-8)) = -1.

Step 3 :Use the point-slope form of a line, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Step 4 :Substitute m = -1 and the point (-8,1) into the formula to get y - 1 = -1 * (x - (-8)).

Step 5 :Simplify the equation to get y = -x - 7.

Step 6 :\(\boxed{y = -x - 7}\) is the equation of the line that passes through the points (-8,1) and (-7,0).

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