Question #2554b413 - SAT Suite Question Bank

ID: 2554b413

Modded SAT Question Bank by Abdullah Mallik

In the xy-plane, a line has a slope of 6 and passes through the point $with coordinates zero comma 8$ . Which of the following is an equation of this line?

$y equals, 6 x plus 8$
$y equals, 6 x plus 48$
$y equals, 8 x plus 6$
$y equals, 8 x plus 48$

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Correct Answer: A

Rationale

Choice A is correct. The slope-intercept form of an equation for a line is $y equals, m x plus b$ , 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 $m equals 6$ . It’s also given that the line passes through the point $with coordinates 0 comma 8$ on the y-axis, so $b equals 8$ . Substituting $m equals 6$ and $b equals 8$ into the equation $y equals, m x plus b$ gives $y equals, 6 x plus 8$ .

Choices B, C, and D are incorrect and may result from misinterpreting the slope-intercept form of an equation of a line.

Question Difficulty: Easy