SAT Math Multiple Choice Question 363: Answer and Explanation

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Test Information

Question: 363

3.

Where will line Q shown in the graph intersect the x-axis?

  • A. 13
  • B. 14
  • C. 15
  • D. 16

Correct Answer: C

Explanation:

C

Difficulty: Easy

Category: Heart of Algebra / Linear Equations

Strategic Advice: Finding an x-intercept is easy when you know the equation of the lineā€”it's the value of x when y is 0.

Getting to the Answer: Everything you need to write the equation is shown on the graph. The y-intercept is 5 and the line falls 1 unit and runs 3 units from one point to the next, so the slope is This means the equation of the line, in slope-intercept form, is Now, set the equation equal to zero and solve for x:

Line Q will intercept the x-axis at 15.

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