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In the standard (x,y) coordinate plane, what is the x intercept of a line that has a slope of 2/3 and passes through the point (-2, 2)?
  • a)
    (-3, 0)
  • b)
    (-5, 0)
  • c)
    (3, 0)
  • d)
    (0, -2)
  • e)
    (2, 0)
Correct answer is option 'B'. Can you explain this answer?
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In the standard (x,y) coordinate plane, what is the x intercept of a l...
The correct answer is B. By definition, the slope of any line is The question gives the slope of the line as 2/3, which means that for every positive change of 2 in y, there is a positive change in x of 3. The question asks you to determine the x-intercept, or where y = 0. You are given a point on the line, (−2, 2). Use the point-slope form of a line, y = mx + b, set y to 0, m to 2/3, and solve for x:


The x-intercept is (−5,0).
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In the standard (x,y) coordinate plane, what is the x intercept of a line that has a slope of 2/3 and passes through the point(-2, 2)?a)(-3, 0)b)(-5, 0)c)(3, 0)d)(0, -2)e)(2, 0)Correct answer is option 'B'. Can you explain this answer?
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