Slopes on the Coordinate Plane

In the standard (x,y) coordinate plane, line r conatins the points (6,5) and (b,-5), and the line t contains the points (4,3) and (0,b). If lines r and t are parallel, which of the following is a possible value of b?

• -2

• 1

• 2

• 3

The slope ratio is what?

• run over bottom

• down over left

• rise over run

• right over top

What is the slope of this graph?

There are 4 types of slopes. Which option does NOT describe a type of slope?

• positive

• negative

• parallel

• zero

Which of the coordinates below are solutions to y = -2x ?

• (-3, 6)

• (-2, -4)

• (1, 2)

• (3, 6)

Two similar right triangles are shown in the coordinate plane. Point P lies on line segment PR. Which statement best compares the slope of PQ to the slope of PR.

• PQ and PR have the same length, so the slopes must be equal.

• The lengths of the corresponding legs of the two triangles are proportional because they are similar, so the slopes must be equal.

• The horizontal distance from P to Q is 2 units, but the vertical distance is 4 units, so the slopes can't be equal.

• The short leg of the large triangle is the same length as the long leg of the small triangle, so the slopes cannot be equal.

The point (-2, y) is on the same line as the points (1, 2) and (7, -1). What is the value of y?

A scatterplot is shown. Which statement best describes the relationship between x and y in the scatterplot?

• The relationship is positive and linear.

• The relationship is positive and nonlinear.

• The relationship is negative and linear.

• The relationship is negative and nonlinear.

You can prove both pairs of opposite sides are parallel by using the slope formula.

• True

• False