What is the y-intercept of the line through (0, -4) and (3, 2)?

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Multiple Choice

What is the y-intercept of the line through (0, -4) and (3, 2)?

Explanation:
The y-intercept is the point where the line crosses the y-axis, which means the value of y when x is 0. Since the line passes through (0, -4), when x = 0 the y-value is -4, so the intercept is -4. You can also check by finding the slope: (2 - (-4)) / (3 - 0) = 6/3 = 2, giving the equation y = 2x - 4, whose y-intercept is indeed -4.

The y-intercept is the point where the line crosses the y-axis, which means the value of y when x is 0. Since the line passes through (0, -4), when x = 0 the y-value is -4, so the intercept is -4. You can also check by finding the slope: (2 - (-4)) / (3 - 0) = 6/3 = 2, giving the equation y = 2x - 4, whose y-intercept is indeed -4.

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