WHAT IS THE EQUATION OF THE LINES IN SLOPE -INTERCEPT FORM ?

Well, the equation in Slope intercept form is: Y = mx + b
First off, let’s calculate our slope/rate of change/ rise over run.
On the graph, to calculate the slope, we would just take two different points and see how much we go up and across by.
For example, let’s take the point (2,-3) and (4,-1)
Now, if we want to get from our first point to our second, we would be going up 2 units and across 2 units so, our slope would be 2/2 which is the same thing as 1 so, our slope is simply just 1.

Next, we need to calculate our y-intercept. To find out your y-intercept on the graph, we would simply just look at where and at what point and coordinate the line crosses the y-axis.
So, if we look at our graph, then we can see that at exactly -5, our line crosses past the y-axis, so, our y-intercept or our ‘b’ in the equation is -5.
So now, we have both our slope and our y-intercept so, we can put our equation together.
Y = mx + b
Y = 1x + -5
Y = X - 5

Glad I could help!