Problem

Given the points (3,4) and (7,10), find the slope and y-intercept of the line passing through these points.

Answer

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Answer

Next, we find the y-intercept (b) using the formula b=y−mx. Substituting the point (3,4) and the slope 1.5, we get b=4−1.5∗3=−0.5

Steps

Step 1 ：First, we calculate the slope (m) of the line using the formula m=y2−y1x2−x1. Substituting the given points, we get m=10−47−3=64=1.5

Step 2 ：Next, we find the y-intercept (b) using the formula b=y−mx. Substituting the point (3,4) and the slope 1.5, we get b=4−1.5∗3=−0.5

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