Linear Graphs Practice Questions

Complete the table of values for $y = 4 - 2x$.

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

Rearrange the equation of the line into the form $y = mx + c$.

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

Write down an equation of the line that is parallel to $4y - 10x + 12 = 0$ and passes through the point $(0, 7)$.

Find an equation of the line $L$.

Show that the point $(25, 49)$ does not lie on the line $L$.

Show that line $A$ and line $B$ are parallel.

The straight line $C$ is parallel to line $B$ and passes through the point $(-2, 4)$.
Find an equation of line $C$.

The straight line $L$ has equation $5y + 2x = 15$

The straight line $N$ is perpendicular to $L$ and passes through the point $(4, -1)$.

Find an equation of line $N$.

Find an equation of line $P$.

Line $P$ and the line with equation $y = x + 1$ intersect at the point $Q$.
Find the coordinates of $Q$.

Find the value of $k$.

$L_1$ and $L_2$ intersect at the point $R$.
Find the coordinates of $R$.
You must show all your working.