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 \(m = \frac{y_2 - y_1}{x_2 - x_1}\). Substituting the given points, we have \(m = \frac{7 - 3}{4 - 2} = 2\).

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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