Point-Slope Form and Linear Equations Unit Test Review

A line that passes through the points (-4, 10) and (-1, 5) can be represented by the equation y = -5/3(x - 2). Which equations also represent this line? Check all that apply.

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

Which linear function is represented by the graph?

f(x) = -1/2x + 1

Which linear function represents the line given by the point-slope equation y + 7 = -2/3(x + 6)?

f(x) = -2/3x - 11

Which linear function represents the line given by the point-slope equation y - 8 = 1/2(x - 4)?

f(x) = 1/2x + 6

What is the equation of the graphed line written in standard form?

x - 4y = 4

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

Line MN passes through points M(4, 3) and N(7, 12). If the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b?

-9

The graph of the equation x - 2y = 5 has an x-intercept of 5 and a slope of 1/2. Which shows the graph of this equation?

D

Which shows a graph of a linear equation in standard form Ax + By = C, where A = 0, B is positive, and C is negative?

D

Which is true of the standard form of the equation of the line graphed?

The value of A can only be 1, the value of C can only be -3, and the value of B is 0.

Mr. Shaw graphs the function f(x) = -5x + 2 for his class. The line contains the point (-2, 12). What is the point-slope form of the equation of the line he graphed?

y - 12 = -5(x + 2)