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SAT数学

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SAT官方每日一题数学（计算）9.18

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Mathematics>Standard Multiple Choice

难易程度：简单

Line l is graphed in the xy-plane. If an equation for the line l is 6y-3x =5, which of the following statements is true?

A The X-intercept of line l is and the y-intercept is

B The X-intercept of line l is and the y-intercept is

C line l has a slope of 2

D line l has a slope of

Answer B

EXPLANATION

Choice B is correct. Because the x‑intercept of the line is where the line crosses the x-axis, the x-intercept can be found by substituting 0 for y and solving for x.

6(0)-3x=5

-3x=5

X=

Because the y-intercept of the line is where the line crosses the y-axis, the y‑intercept can be found by substituting 0 for x and solving for y.

6y-3(0)=5

6y=5

Y=

The y‑intercept is therefore located at the point (0,), which can also be described by stating that the y-intercept is .

Therefore, the x-intercept of line l is and the y-intercept is .

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