Problem

Given the points (2, 3) and (4, 7) on a line, find the equation of the line in slope-intercept form (y = mx + b).

Answer

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Answer

Step 3: Substitute m and b into the equation y=mx+b to get the equation of the line.

Steps

Step 1 ：Step 1: Find the slope (m) of the line using the formula m=y2−y1x2−x1. Substituting the given points, we have m=7−34−2=2.

Step 2 ：Step 2: Substitute one of the points and the slope into the slope-intercept form to find the y-intercept (b). Let's use the point (2, 3). So, 3=2∗2+b, which simplifies to b=−1.

Step 3 ：Step 3: Substitute m and b into the equation y=mx+b to get the equation of the line.

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