QuestionThe straight line shown below passes through the points $(6,4)$ and $(11,49)$.
What is the gradient of this line? Give your answer as an integer or as a fraction in its simplest form.

Studdy Solution
Simplify the expression to find the gradient.
Calculate the difference in the $y$-coordinates:
$$49 - 4 = 45$$
Calculate the difference in the $x$-coordinates:
$$11 - 6 = 5$$
So, the gradient $m$ is:
$$m = \frac{45}{5}$$
Simplify the fraction:
$$m = 9$$
The gradient of the line is:
$$\boxed{9}$$