Graphing Linear and Systems of Equations

Graph the equation y = 2x + 1. State the slope and the y-intercept.

Graph the equation y = -3x + 4. Describe how the line moves from left to right.

Write the equation of a line with slope 1/2 and y-intercept -3. Then describe how you would graph it.

Find the slope of the line that passes through the points (2, 5) and (6, 13).

Find the slope of the line that passes through the points (-1, 4) and (3, -8).

Determine whether the line through the points (0, 2) and (4, 2) is increasing, decreasing, horizontal, or vertical. Explain.

Graph the equation x = -5. Describe the line and state whether its slope is defined.

Solve the system by graphing: y = x + 2 and y = -x + 4. State the solution as an ordered pair.

Solve the system by graphing: y = 2x - 1 and y = 2x + 3. Explain what the graph shows.

Solve the system by graphing: y = -4x + 5 and y = -4x + 5. Explain your answer.

A gym charges a one-time sign-up fee of 20 dollars and 15 dollars per month. Write a linear equation where x is the number of months and y is the total cost. Then state the slope and y-intercept.

A line has y-intercept 6 and passes through the point (2, 2). Find its slope and write the equation in slope-intercept form.

Compare the lines y = 3x - 2 and y = -(1/3)x - 2. Tell whether they intersect, and if so, find the point of intersection.