Problem

If a line passes through the points (4,7) and (2,3), find the equation of the line using the slope-intercept formula.

Answer

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Answer

Step 3: Now we have the slope and the y-intercept, we can write down the equation of the line as y=−2x+15

Steps

Step 1 ：Step 1: First, let's find the slope (m) of the line using the formula m=y2−y1x2−x1 . So, m=3−72−4=−2

Step 2 ：Step 2: Now, let's use the slope-intercept form of the line, which is y=mx+b . We know the slope (m) and we can use one of the points (4,7) to solve for b. So, 7=−2∗4+b ,b=7+8=15

Step 3 ：Step 3: Now we have the slope and the y-intercept, we can write down the equation of the line as y=−2x+15

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