Relationships Between Quantities — Test

Question 17 • Mathematics III

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, the x and y axes marked from negative 6 to 6, there is a straight line with a positive slope. The line passes through the y axis at (0 comma negative 3) and the x axis at (1 point 5 comma 0). It extends indefinitely, rising from the third quadrant, through the fourth, and into the first quadrant.

Image with description On a coordinate plane, the x and y axes marked from negative 6 to 6, there is a straight line with a negative slope. The line passes through the y axis at (0 comma 2) and the x axis at (1 comma negative 1). It extends indefinitely, descending from the second quadrant, through the first, and into the fourth quadrant.

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).

Explanation

Rewrite the equation: y − 1 = 2(x − 2) becomes y − 1 = 2x − 4, so y = 2x − 3. The line has slope 2, crosses the y-axis at (0, −3), and crosses the x-axis at (1.5, 0). Choice B shows those intercepts and a positive slope.

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