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Algebra / Linear equations in two variables Difficulty: Easy

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?

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Explanation

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.