Question

slope = answer as reduced fraction.
y - intercept = answer as a point (a,b).

Explanation:

Step1: Select two points on the line

Let's take two points \((0, - 4)\) and \((4, - 3)\) from the graph.

Step2: Use slope - formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Here, \(x_1 = 0,y_1=-4,x_2 = 4,y_2=-3\). Then \(m=\frac{-3-(-4)}{4 - 0}=\frac{-3 + 4}{4}=\frac{1}{4}\).
The y - intercept is the point where the line crosses the y - axis. From the graph, we can see that the line crosses the y - axis at the point \((0,-4)\).

Answer:

Slope \(=\frac{1}{4}\), Y - intercept \(=(0,-4)\)