What is an equation of the graph shown?
Correct answer: C. y = - x - 8
- A. y = -2x - 8
- B. y = x - 8
- C. y = - x - 8
- D. y = 2x - 8
Explanation
Choice C is correct. The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. The graph shows a line with a y-intercept at (0, -8), so b = -8. The line also passes through the point (-8, 0). The slope m can be calculated using the points (0, -8) and (-8, 0) as m = (0 - (-8)) / (-8 - 0) = -1. Substituting m = -1 and b = -8 into the equation form gives y = -x - 8. Therefore, the equation of the line shown is y = -x - 8.Option A is incorrect as it has a slope of -2. Option B is incorrect due to its slope of 1, and Option D is incorrect with a slope of 2.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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