Slope-Intercept Form

Question 6 • GA-Advanced Algebra: Concepts and Connections CR

The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?

Answer

Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.

Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.

Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.

Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.

Explanation

The y-intercept is –6, so the line crosses the y-axis at (0, –6). A slope of 2 means rise 2 for every run of 1, so from that point move up 2 and right 1 to find another point on the line. Therefore, the correct description is choice A.

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