Linear Graphs Practice Questions

Complete the table of values for $y = 2x - 3$.

On the grid, draw the graph of $y = 2x - 3$ for values of $x$ from $-1$ to $4$.

Use your graph to find the value of $x$ when $y = 2$.

On the grid, draw the line with equation $y = -2$.

On the grid, draw the line with equation $x = 3$.

Write down the coordinates of the point where your two lines cross.

Write down the gradient of $L_1$.

Write down the coordinates of the point where $L_1$ crosses the $y$-axis.

Write down the gradient of $L_2$.

Rearrange $5y - 10x = 15$ into the form $y = mx + c$.

Write down the gradient of the line.

Write down the coordinates of the point where the line crosses the $y$-axis.

The line $L$ is shown on the grid.

Find an equation for $L$.

Find the gradient of the line $AB$.

Find an equation of the line $AB$.

The line $L$ has gradient $4$ and passes through the point $(2, 5)$.

Find an equation of $L$.

The line $M$ has equation $y = 5x - 8$.

Does the point $(3, 7)$ lie on the line $M$?
You must show how you get your answer.

Show that $L_1$ and $L_2$ are parallel.

The line $L_3$ is parallel to $L_1$ and passes through the point $(2, 1)$.

Find an equation of $L_3$.