Hey there!
The slope-intercept equation is written as follows:
y = mx + b
Where m is the slope and b is the y-intercept. Therefore, we need both to write the form in slope-intercept. First, we'll find the slope.
To find the slope, we can use the slope given two points formula, which is defined as:
y2-y1/x2-x1
Plug in values (2,0) and (0, -2):
-2-0/0-2 = -2/-2 = 1
Now, we can use one of the points we have and our slope to set it equal to y, plug in x and the slope, and solve for b. We'll use (2, 0). We have:
0 = 1(2) + b
Remember, 0 is the y, 1 is the slope, and 2 is the x.
0 = 2 + b
-2 = b
Therefore, our equation is:
y = x - 2
Hope this helps!
