Slope and Linear Equations Review

Slope

100

Calculate the slope given the following coordinate points: (3, -1) and (-4, 7)

8/-7

200

Given the table below, find the slope. 

5/3

300

Given f(x) represents a linear equation, if f(-5)=2 and f(-3)=6, what is the slope of f(x)?

2

400

The points f(9)=-1 and f(-4)=1 lie on the line of f(x). Find the slope.

2/-13

500

Given the equation 4x + 5y = 20, what is the slope of the equation?

-4/5

Equations

100

Given a slope of -4 and a coordinate point of (0, 8), write an equation in slope-intercept form.

y = -4x + 8

200

The linear equation f(x) has a slope of 5 and passes through the coordinate point (-7, 2). Write an equation in point-slope form.

y - 2 = 5(x + 7)

300

f(x) represents a linear equation. If f(-5)=3 and f(1)=-4, write an point slope equation to represent f(x).

y - 3 = -7/6(x + 5)

OR

y + 4 = -7/6(x - 1)

400

f(x) passes through the points (0, -6) and (2, 3). Write an equation to represent f(x).

y = 9/2x -6

OR

y + 6 = 9/2(x +0)

OR

y - 3 = 9/2(x - 2)

500

Given 5x - 6y = 18, write the equation in slope-intercept form.

y = 5/6x - 3

Graphs

100

Find the slope of the linear equation using the graph below.

3/5

200

What are the coordinates of the x and y intercepts?

(-4, 0) and (0, 2)

300

Write an equation in point-slope form for the linear line graphed on the xy-coordinate plane.

y + 2 = 3/5(x - 3)

OR

y - 1 = 3/5(x - 8)

400

The line below represents f(x). Write an equation to represent f(x).

y = -2x + 2

500

Write an equation in standard form given the linear line represented on the graph below.

-1/2x + y = -1

Converting Equations

100

Given the equation x + y = 16, write it in slope-intercept form.

y = -x + 16

200

If f(x) is represented by the linear equation y = -4x - 7, write the equation in standard form.

4x + y = 7

300

Transform the equation 4x - 3y = 12 into slope-intercept form.

y = 4/3x - 12

400

f(x) is a linear function. If f(3)=-4 and f(0)=5, write the equation f(x) in standard form.

3x + y = 5

500

The line on the xy-plane below represents the linear equation f(x). Write the equation in standard form.

-2x + y = 4

Random

100

Given the value  f(x) = x³ +2x²-5

Find f(-3)

f(-3)=-14

200

Solve for P

T=(AP)/Q

P=TQ/A

300

What is the equation of a vertical line that goes through the points (3,4) and (3,5)

x=3

400

What is the equation of the line that passes through the points (-4, 2) and (2,2)

y = 2

500

Solve for x

3x+2(x-5)=-4(x+3)

x=-22