Question
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What is an equation of the line that passes through the points $(-8,1)$ and $(-7,0)$ ?
Answer
\(\boxed{y = -x - 7}\) is the equation of the line that passes through the points (-8,1) and (-7,0).
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).
