Unit Test Review

What is the constant of variation, k, of the line y = kx through (3,18) and (5,30)?

6

The depth of snow after n hours of a snowstorm is represented by the function f(n + 1) = f(n) + 0.8 where f(0) = 2.5. Which statement describes the sequence of numbers generated by the function?

The depth of snow was 2.5 inches when the storm began, and increased by 0.8 inches each hour.

A line is drawn through (-4, 3) and (4, 3). Which describes whether or not the line represents a direct variation?

The line does not represent a direct variation because it does not go through the origin.

Which statement best explains the relationship between lines PQ and RS?

They are not parallel because their slopes are not equal.

Which point is on the line that passes through point R and is perpendicular to line PQ?

(-4, -8)

A line that passes through the points (-4, 10) and (-1, 5) can be represented by the equation y = (x - 2). Which equations also represent this line? Check all that apply.

y = -5/3x + 10/3 3y = -5x + 10 5x + 3y = 10

What is the equation of the line that is perpendicular to the given line and passes through the point (3, 4)?

y = 3x − 5

A direct variation function contains the points (-9, -3) and (-12, -4). Which equation represents the function?

y = x/3

What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (4, 1)?

y − 1 = −2(x − 4)

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2, 5)?

y − 5 = −(x − 2)

The table represents a linear equation. Which equation correctly uses point (-2, -6) to write the equation of this line in point-slope form?

y + 6 = 5/2(x + 2)

Line QR goes through points Q(0, 1) and R(2, 7). Which equation represents line QR?

y - 1 = 3x

Which points lie on the line that passes through point P and is parallel to the given line? Check all that apply.

(-1, 3) (-2, 2) (-5, -1)

What is the equation of the line that is parallel to the given line and passes through the point (2, 3)?

x + 2y = 8

Which statement best explains the relationship between lines AB and CD?

They are parallel because their slopes are equal.