For the line with slope -2 passing through (4,6), what is the y-intercept?

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Master the Certify Teacher EC-6 (391) Mathematics Test. Use flashcards and multiple choice questions with explanations. Boost your confidence and excel in your exam!

Multiple Choice

For the line with slope -2 passing through (4,6), what is the y-intercept?

Explanation:
To find the y-intercept, use the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. With slope -2 and the point (4, 6), plug in: 6 = (-2)(4) + b, so 6 = -8 + b, giving b = 14. Thus, the line crosses the y-axis at 14. You can also check by writing the equation in point-slope form: y - 6 = -2(x - 4), which simplifies to y = -2x + 14, again showing the intercept is 14.

To find the y-intercept, use the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. With slope -2 and the point (4, 6), plug in: 6 = (-2)(4) + b, so 6 = -8 + b, giving b = 14. Thus, the line crosses the y-axis at 14. You can also check by writing the equation in point-slope form: y - 6 = -2(x - 4), which simplifies to y = -2x + 14, again showing the intercept is 14.

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