Relationships Between Quantities — Test

Question 7 • Algebra II

Which graph represents y minus 1 is equal to 2 times open paren x minus 2 close paren ?

Answer

Image with description On a coordinate plane with x and y axes marked with negative 6 to 6, there is a straight line with a positive slope passing through the points (negative 2 comma negative 5), (0 comma negative 1), (0 point 5 comma 0) and (2 comma 3).

Image with description On a coordinate plane with x and y axes marked with negative 6 to 6, there is a straight line with a negative slope passing through the points (0 comma 4) and (2 comma 0).

Image with description On a coordinate plane with x and y axes marked with negative 6 to 6, there is a straight line with a negative slope passing through the points (0 comma 2), (1 comma negative 1).

Image with description On a coordinate plane with x and y axes marked with negative 6 to 6, there is a straight line with a positive slope passing through the points (0 comma negative 3), (1 point 5 comma 0) and (3 comma 3).

Explanation

Rewrite the equation y − 1 = 2(x − 2) as y = 2x − 3. The line has slope 2 and crosses the y-axis at −3; for example, when x = 3, y = 3. Choice D passes through (0, −3) and (3, 3), so it represents the equation.

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