Exam 3: Linear Equations and Inequalities in Two Variables

For the following problem, the slope and one point on a line are given. Use the point-slope form to find the equation of that line. (Write your answer in slope-intercept form.)

For the equation complete the ordered pair .

Cassandra buys a new color copier for her small business. It will cost $24,000 and will decrease in value each year. The graph below shows the value of the copier after the first 5 years of ownership. Find the equation of this line where is the value after years.

Graph the line that has an x -intercept of 8 and a y -intercept of 6. What is the slope of this line?

Graph the linear inequality.

Find the x - and y -intercepts for the equation. Then use the intercepts to graph the equation.

Find the equation of the line that passes through the pair of points. Write your answer in slope-intercept form. (-5, -2), (5, -6)

For the following equation, complete the given table.

Find the slope and y -intercept for the following equation by writing it in the form y = mx + b . Then, graph the equation.

For the equation complete the given table.

Graph the solution set for the equation.

Graph the linear inequality.

Find the equation of the line that passes through the pair of points. Write your answer in slope-intercept form.

For the following equation, complete the given table.

Give the equation of the line with the given slope and y -intercept. m = 8, b = - 7

Find the slope of the line through the pair of points (4, -6), (5, -3). Plot the pair of points, draw a line through them, and indicate the rise and run in the graph.

For the equation complete the ordered pair .

Give the coordinates of the point in the figure.

A square with sides 7 units long is shown below. One corner is the point (2, 1). Find the other three corners. D = __________ E = __________ F = __________

Find the equation of the line that passes through the pair of points. Write your answer in slope-intercept form.