When you factor (x^2-4x-5), you get (x+1)(x-5).
Answer: the x-intercept is (-10,0), the y-intercept is (0,45/2)
Explanation:
First, we need to determine the function describing the line.
From the table, it is obvious that the y values increase by 9 every increase of 4 of the x values. So, the slope is 9/4 and the function looks like this:

with the y-intercept (or bias) b still unknown. This can be determined by using one of the point from the table, like so:

The above function form makes it easy to read off the y-intercept, which is (0,45/2) or (0,22.5). The x-intercept is obtained by setting y = 0 and solving for x:

The x-intercept is (-10,0)
<h3>hello!</h3>
We're given a point that the line intersects and its slope.
Let's use Point-slope:-

y1 = -5
m=-5
x1=-1


Convert to slope-intercept:-


Finally,

<h3>note:-</h3>
Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)