Linear Relations & Slope

Calculate slope and read features of linear equations.

20 questions, free, marked as you go with a worked explanation on every one.

What this covers

Find the slope between (2, 3) and (6, 11).
What is the slope of a horizontal line?
Find the slope between (0, 0) and (4, -8).
In y = 3x + 5, what is the slope?
Find the y-intercept of y = -2x + 7.
What is the slope of a vertical line?
Find the slope between (-1, 2) and (3, 10).
If two lines are parallel, their slopes are:
Find the x-intercept of y = 2x - 6 (the value of x when y = 0).
Plot the midpoint of the segment joining (1, 2) and (5, 8).
A line has slope 2 and passes through (0, -3). Plot the point on that line where x = 2.
A plumber charges a fixed call-out fee plus a steady hourly rate. A job lasting 3 hours is billed at $215, and a job lasting 7 hours is billed at $415. What is the plumber's hourly rate, in dollars per hour?
Graph the line with slope -2 that passes through (0, 4).
Graph the line that passes through (-2, -1) and is parallel to y = x + 5.
What is the slope of the line shown?
Solve the system: y = 2x + 1 and y = x + 4. What is the value of x at the solution?
Solve the system: y = 2x + 1 and y = x + 4. What is the value of y at the solution?
A system of two linear equations has no solution. What does this mean about their graphs?
Solve the system: 3x + y = 11 and x - y = 1. What is the value of x?
A system of two linear equations has infinitely many solutions. What must be true of the two lines?