Exam 3: Linear Equations and Inequalities in Two Variables

Find the slope of the line through the pair of points (-1, -6), (2, 1). Plot the pair of points, draw a line through them, and indicate the rise and run in the graph.

Graph the linear inequality.

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.)

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

Find y if the line through (4, 5)and (7, y )has a slope of 2. y = __________

Find three solutions to the following equation, and then graph the solution set.

Graph the ordered pair.

If the perimeter of a rectangle is 44 inches, then the relationship between the length l and the width w is given by the equation . What is the length when the width is 10 inches? __________ inches

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

For the following line the x -intercept and the y -intercept are both 0, which means the graph of the line will go through the origin, (0, 0). Graph the line by finding a point on it, other than the origin, and then drawing a line through that point and the origin.

Graph the line with the given slope and y -intercept b .

A square with sides 7 units long is shown below. One corner is the point (5, - 1). Find the other three corners.

Graph the line with the given slope and y -intercept b .

For the equation complete the ordered pairs. ( _____ , 9 ), ( _____ , -4 ), ( _____ , 0 )

For the equation complete the ordered pair .

For the following equation, complete the given table.

Find three solutions to the following equation, and then graph the solution set.

Graph the solution set for the equation.

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

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