# G3

Question: Find the gradient of the straight line graph shown to the right.

Answer: Remember we just need to find two numbers to describe our line: the gradient (m) and the y-axis intercept (c).

It’s easier if we start with the gradient. $m=\dfrac{\text{change in y}}{\text{change in x}}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{7-(-2)}{4-(-2)}=\dfrac{9}{6}=\frac{3}{2}$

So our equation so far is $y=\frac{3}{2}x+c$.

C is always the $y$-intercept which we can see from the graph is $4$.

Giving the final answer to as $y = \frac{3}{2}x+4$