Problem

Given the points (6, 8) and (4, 12) on a line, find the y-intercept of the line.

Answer

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Answer

Step 3: Solve the equation for b to find the y-intercept. \( 8 = -12 + b \) which simplifies to \( b = 8 + 12 = 20 \)

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 get \( m = \frac{12 - 8}{4 - 6} = -2 \)

Step 2 ：Step 2: Use the slope-intercept form of a line equation \( y = mx + b \), where m is the slope and b is the y-intercept. Substituting the slope and one of the points (6, 8), we get \( 8 = -2(6) + b \)

Step 3 ：Step 3: Solve the equation for b to find the y-intercept. \( 8 = -12 + b \) which simplifies to \( b = 8 + 12 = 20 \)

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