Question

1. determine the slope of the

a)
equation

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through the points \((0, 7)\) (the y - intercept) and \((3, - 5)\) (by looking at the grid, when \(x = 3\), \(y=-5\)).

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\), where \((x_1,y_1)=(0,7)\) and \((x_2,y_2)=(3, - 5)\).
Substitute the values into the formula: \(m=\frac{-5 - 7}{3-0}=\frac{-12}{3}=- 4\).

Answer:

The slope of the line is \(-4\)