Determine the slope and y-intercept of the line y = -2x + 8.

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Multiple Choice

Determine the slope and y-intercept of the line y = -2x + 8.

Explanation:
In this line, y = mx + b is written in slope-intercept form, where m is the slope and b is the y-intercept. The coefficient of x is -2, so the slope m is -2. The constant term is +8, so the y-intercept b is 8. That means the line slopes downward with slope -2 and crosses the y-axis at y = 8 (the point (0, 8)). The other options would require a positive slope or a negative intercept, which don’t match the equation’s coefficients.

In this line, y = mx + b is written in slope-intercept form, where m is the slope and b is the y-intercept. The coefficient of x is -2, so the slope m is -2. The constant term is +8, so the y-intercept b is 8. That means the line slopes downward with slope -2 and crosses the y-axis at y = 8 (the point (0, 8)). The other options would require a positive slope or a negative intercept, which don’t match the equation’s coefficients.

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