Point and Slope Math

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.

Tags

CCSS.8.EE.B.6

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

Tags

CCSS.HSF.IF.A.1

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.

Tags

CCSS.8.F.A.3

Write the equation of the line with slope 5/2 through the point (8, -2).

• y = 5/2x + 18

• y = 5/2x - 18

• y = 5/2x + 22

• y = 5/2x - 22

Write the equation of the line with slope 4 through the point (-2, 5).

• y = 4x - 13

• y = 4x + 13

• y = 4x - 3

• y = 4x + 3

Write the equation of a line that passes through the point (-1,4) and has a slope of 9.

Mathematical Equivalence

ON

Which is an equation for the line that contains (1, 2) and has a slope of 4?

• y = 2x - 4

• y = -2x + 4

• y = 4x - 2

• y = -4x + 2

Write the equation of a line that passes through the point (-1,4) and has a slope of 9.

(type y = )

Mathematical Equivalence

ON

The linear regression equation for the data is  y = 1.5x + 12.  Interpret the slope of the equation.

• The slope is (0, 1.5).  It means that a pizza with 0 toppings will cost $1.50.

• The slope is 1.5.  It means that it costs $1.50 per topping.

• There are 1.5 toppings.

• There are 1.5 pizzas.

Tags

CCSS.HSF.LE.B.5