If a graph has a y-intercept of -4 and slope 3, write its equation in slope-intercept form.

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Multiple Choice

If a graph has a y-intercept of -4 and slope 3, write its equation in slope-intercept form.

Explanation:
In slope-intercept form, y = mx + b, the slope is m and the y-intercept is b. Here the slope is 3 and the y-intercept is -4, so substitute to get y = 3x - 4. This matches the given intercept (at x = 0, y = -4) and shows the line rises 3 units for every 1 unit to the right. The other forms would change the sign of the slope or the intercept, so they don’t fit the given information. The equation is y = 3x - 4.

In slope-intercept form, y = mx + b, the slope is m and the y-intercept is b. Here the slope is 3 and the y-intercept is -4, so substitute to get y = 3x - 4. This matches the given intercept (at x = 0, y = -4) and shows the line rises 3 units for every 1 unit to the right. The other forms would change the sign of the slope or the intercept, so they don’t fit the given information. The equation is y = 3x - 4.

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