Problem

Find the equation of the line that passes through the points (4, -3) and (2, -1) using the point-slope form.

Answer

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Answer

Simplify the equation to get the final result, y+3=−x+4, or rearrange it to standard form, x+y=1

Steps

Step 1 ：First, we should find the slope of the line that passes through the points (4, -3) and (2, -1). The slope formula is m=y2−y1x2−x1

Step 2 ：Substituting the given points into the formula, we get m=−1−(−3)2−4=2−2=−1

Step 3 ：Now we can use the point-slope form of the equation of a line, which is y−y1=m(x−x1)

Step 4 ：Choose one of the points to substitute into the equation, for instance, (4, -3), we get y−(−3)=−1(x−4)

Step 5 ：Simplify the equation to get the final result, y+3=−x+4, or rearrange it to standard form, x+y=1

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