Question in-the
In the xy-plane, a line has a slope of 6 and passes through the point 
. Which of the following is an equation of this line?
In the xy -plane, a line has a slope of 6 and passes through the point
Medium-difficulty · SAT Math · Linear Equations in Two Variables — Writing equations from data/points. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice A is correct. The slope-intercept form of an equation for a line is 
, where m is the slope of the line and b is the y-coordinate of the y-intercept of the line. It’s given that the slope is 6, so 
. It’s also given that the line passes through the point on the y-axis, so 
. Substituting and into the equation gives .
Choices B, C, and D are incorrect and may result from misinterpreting the slope-intercept form of an equation of a line.
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