What is the equation of a line with slope 3 that passes through (0,-5)?

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Multiple Choice

What is the equation of a line with slope 3 that passes through (0,-5)?

Explanation:
Find the equation using slope-intercept form, y = mx + b. The slope is 3, so start with y = 3x + b. The line passes through (0, -5), and when x = 0, y equals b, so b = -5. This gives y = 3x - 5. The intercept is -5, which matches the given point, and the slope is 3 as required. Any option with a different intercept or a different slope wouldn’t pass through (0, -5).

Find the equation using slope-intercept form, y = mx + b. The slope is 3, so start with y = 3x + b. The line passes through (0, -5), and when x = 0, y equals b, so b = -5. This gives y = 3x - 5. The intercept is -5, which matches the given point, and the slope is 3 as required. Any option with a different intercept or a different slope wouldn’t pass through (0, -5).

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