Slope-Intercept Form of a Line — Quiz

Question 10 • Mathematics I

Which graph represents a line with a slope of negative 2 thirds and a y -intercept equal to that of the line y is equal to 2 thirds x minus 2 ?

Answer

Image with description A coordinate plane with a line passing through (negative 3, 0) and (0, 2).

Image with description A coordinate plane with a line passing through (0, 2) and (2, negative 1).

Image with description A coordinate plane with a line starting at (negative 2, negative 4), passing through (0, negative 2) and (2, 1).

Image with description A coordinate plane with a line passing through (negative 3, 0) and (0, negative 2).

Explanation

The line y = (2/3)x - 2 has a y-intercept of -2, so the new line must also cross the y-axis at (0, -2). Its slope must be -2/3. Choice D passes through (0, -2) and (-3, 0), giving slope (0 - (-2))/(-3 - 0) = -2/3, so it has both required features.

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