Question Bank / Math / Linear Equations in Two Variables

Linear equations in two variables SAT question

Math · Algebra · Easy · Answer it here, explanation included.

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?

ExplanationShow

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.

Drill this skill on Aceit

Adaptive practice, a daily plan, and score tracking take a free account so we can save your work.

Practice this skill

More Linear equations in two variables questions