Question

find the gradient of a straight line joining the points (-3, 0) and (0, 5). a. 20 d. -3/2 b. 10 e. -5/3 c. 1 2/3

Explanation:

Step1: Identify the formula for gradient

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

Step2: Assign values to \(x_1,y_1,x_2,y_2\)

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

Step3: Substitute values into the formula

$$
LATEXBLOCK0
$$

Wait, there seems to be a mistake. Let me check again.

Step2 (corrected): Assign values to \(x_1,y_1,x_2,y_2\)

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

Step3 (corrected): Substitute values into the formula

$$
LATEXBLOCK1
$$

Answer:

C. \(1\frac{2}{3}\)