Write the equation of a line with slope 2 that passes through (0, 3).

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Multiple Choice

Write the equation of a line with slope 2 that passes through (0, 3).

Explanation:
To describe a line with slope 2 that goes through (0, 3), use slope-intercept form y = mx + b. The slope is 2, so y = 2x + b. Since the line passes through (0, 3), plug in x = 0 and y = 3: 3 = 2(0) + b, so b = 3. Therefore the equation is y = 2x + 3. This matches the given point and slope, because the y-intercept is 3 and each step to the right increases y by 2. The other forms either have the wrong slope or the wrong intercept (for example, a negative slope, or a slope of 1, or a y-intercept of -3), so they don’t fit both conditions.

To describe a line with slope 2 that goes through (0, 3), use slope-intercept form y = mx + b. The slope is 2, so y = 2x + b. Since the line passes through (0, 3), plug in x = 0 and y = 3: 3 = 2(0) + b, so b = 3. Therefore the equation is y = 2x + 3. This matches the given point and slope, because the y-intercept is 3 and each step to the right increases y by 2. The other forms either have the wrong slope or the wrong intercept (for example, a negative slope, or a slope of 1, or a y-intercept of -3), so they don’t fit both conditions.

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