Question

c. (a - 17) find the gradient of a straight line joining the points (-3, 0) and (0, 5).

Explanation:

Step1: Recall the gradient formula

The gradient \( m \) of a straight line joining two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify the coordinates

Let \((x_1, y_1)=(-3, 0)\) and \((x_2, y_2)=(0, 5)\).

Step3: Substitute into the formula

Substitute the values into the gradient formula: \( m=\frac{5 - 0}{0 - (-3)}=\frac{5}{3} \).

Answer:

\(\frac{5}{3}\)