Linear Functions — Test

Question 17 • *KCPS Algebra I (2027)

Which is the graph of the equation y minus 1 is equal to 2 thirds times x minus 3 ?

Answer

Image with description A coordinate plane has both x and y axes labeled from negative 10 to 10. A straight line is plotted that passes through the point negative 3 comma 1 and the point 3 comma 5.

Image with description A coordinate plane has both x and y axes labeled from negative 10 to 10. A straight line is plotted that passes through the point negative 3 comma negative 1 and the point 3 comma 3.

Image with description A coordinate plane has both x and y axes labeled from negative 10 to 10. A straight line is plotted that passes through the point negative 3 comma negative 3 and the point 3 comma 1.

Image with description A coordinate plane with the x-axis labeled from negative 10 to 10 and the y-axis labeled from negative 10 to 10. A straight line is plotted that passes through the point negative 3 comma negative 5 and the point 3 comma negative 1.

Explanation

The equation is in point-slope form: y − 1 = (2/3)(x − 3), so the line passes through (3, 1) and has slope 2/3. Moving 6 units left from x = 3 changes y by (2/3)(−6) = −4, giving the point (−3, −3). Choice D shows a line through (−3, −3) and (3, 1).

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