Linear Functions — Test

Question 3 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

Which steps should be used to graph the equation? y minus 4 is equal to 1 third times x plus 2

Answer

1. Plot the point 2 comma 4 . 2. From that point, count left 3 units and down 1 unit and plot a second point. 3. Draw a line through the two points.

1. Plot the point negative 2 comma 4 . 2. From that point, count left 3 units and down 1 unit and plot a second point. 3. Draw a line through the two points.

1. Plot the point 2 comma 4 . 2. From that point, count left 1 unit and down 3 units and plot a second point. 3. Draw a line through the two points.

1. Plot the point negative 2 comma 4 . 2. From that point, count left 1 unit and down 3 units and plot a second point. 3. Draw a line through the two points.

Explanation

The equation is in point-slope form: y − 4 = 1/3(x − (−2)). So the line passes through (−2, 4) and has slope 1/3. From that point, moving left 3 units and down 1 unit gives a slope of (−1)/(−3) = 1/3, so the correct steps are to plot (−2, 4), then move left 3 and down 1, and draw the line.

AI-written and checked against the verified answer.

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