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 \(m = \frac{y_2 - y_1}{x_2 - x_1}\). Substituting the given points, we get \(m = \frac{10 - 4}{7 - 3} = \frac{6}{4} = 1.5\)

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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