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Linear equations in two variables SAT question
Math · Algebra · Easy · Answer it here, explanation included.
What is the equation of the line shown in the xy-plane above?
ExplanationShow
Choice B is correct. Any line in the xy-plane can be defined by an equation in the form y = mx + b, where m is the slope of the line and b is the y-coordinate of the y-intercept of the line. From the graph, the y-intercept of the line is (0, 3). Therefore, b = 3. The slope of the line is the change in the value of y divided by the change in the value of x for any two points on the line. The line shown passes through (0, 3) and (1, 0), so 
, or m = –3. Therefore, the equation of the line is y = –3x + 3.
Choices A and C are incorrect because the equations given in these choices represent a line with a positive slope. However, the line shown has a negative slope. Choice D is incorrect because the equation given in this choice represents a line with slope of 
. However, the line shown has a slope of –3.
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