The line through (0,2) and (4,10) has a y-intercept of what value?

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Multiple Choice

The line through (0,2) and (4,10) has a y-intercept of what value?

Explanation:
The y-intercept is the value of y when x = 0, where the line crosses the y-axis. Since the line passes through (0, 2), the y-value on the y-axis is 2. You can also check with the slope: m = (10 − 2)/(4 − 0) = 2, so the line is y = 2x + b. Plugging in x = 0, y = 2 gives b = 2. Thus the y-intercept is 2.

The y-intercept is the value of y when x = 0, where the line crosses the y-axis. Since the line passes through (0, 2), the y-value on the y-axis is 2. You can also check with the slope: m = (10 − 2)/(4 − 0) = 2, so the line is y = 2x + b. Plugging in x = 0, y = 2 gives b = 2. Thus the y-intercept is 2.

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