Consider the equation y = - 2 x.
Find the y-intercept of the line.
Find the x-intercept of the line.
Find the value of y when x = 2.
Sketch the line on a number plane.
For each of the following equations:
Find the x-intercept.
Find the y-intercept.
Sketch the line on a number plane.
Sketch the graphs of the following linear equations by first finding the x-intercept and the \\ y-intercept:
6 x + 2 y = 12
- 20 x + 5 y = 40
Graph the line that has an x-intercept of - 8 and whose slope is - 1.
Consider the equation y = -2- x .
Complete the table of values:
Sketch the line on a number plane.
State the coordinates of the y-intercept.
State the coordinates of the x-intercept.
Find the y-value when x = 3.
Find the x-value when y = - 4.
| x | -1 | 0 | 1 |
|---|---|---|---|
| y |
Consider the equation y = 1- x .
Complete the table of values:
Sketch the line on a number plane.
Determine whether the point \left(1.5,- 0.5\right) lies on the line.
| x | -1 | 0 | 1 | 2 |
|---|---|---|---|---|
| y |
Consider the equation y = 3 - x
Complete the table of values:
Sketch the line on a number plane.
Determine whether the point \left(2.5,0.5\right) lies on the line.
| x | -1 | 0 | 1 | 2 |
|---|---|---|---|---|
| y |
Consider the equation 2 x - y = 2
Complete the table of values:
Sketch the line on a number plane.
State the coordinates of the y-intercept.
State the coordinates of the x-intercept.
Find the y-value when x = - 2.
| x | -1 | 0 | 1 |
|---|---|---|---|
| y |
The given table shows the coordinates of four points on the number plane:
Sketch the line that passes through these four points.
Find the equation of the line that goes through these points.
| x | -3 | -3 | -3 | -3 |
|---|---|---|---|---|
| y | -2 | -1 | 0 | 1 |
Graph the following linear equations by finding any two points on the line:
y = - 3
x = - 6
y = 2 x
y = - 4 x
y - 3 x = 0
y = - 1 + 4 x
6 x - 3 y = -18
- 6 x + 3 y = -24
A band plans to record a demo at a local studio. The cost of renting studio A is \$250 plus \$50 per hour. The cost of renting studio B is \$50 plus \$100 per hour.
The cost, y, in dollars of renting the studios for x hours can be modelled by the linear system:
Studio A: y = 250 + 50x
Studio B: y = 50 + 100x
Find the x and y-intercepts of the line y = 250 + 50x.
Find the x and y-intercepts of the line y = 50 + 100x.
Graph the lines of the both equations on the same number plane.
State the values of x and y which satisfy both equations.
Explain what these x and y-values mean in context.
Neil plans to start taking an aerobics class. Non-members pay \$4 per class. Members pay a \$10 fee plus an additional \$2 per class. The monthly cost, y, of taking x classes can be modelled by the linear system:
Non-members: y = 4x
Members: y = 10 + 2x
Graph the lines of both equations on the same number plane.
State the values of x and y which satisfy both equations.
Explain what these x and y-values mean in context.