Type the slope intercept equation of the line tjat passes through the points 2,0and 0,-2

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!

We know that the slope intercept formula is y = mx+b
We also know that when x is zero, the coordinate gives us the y-intercept (which is "b"). Therefore, (0, -2) tells us directly that the b is -2. Then we need to find the slope. We can use the the slope formula, which is Y2 - Y1/X2-X1    (0-2/2-0 = -2/2 = -1). Using the formula, we determine the slope (m) is -1. With that known information, we can conclude that the slope intercept equation is y = -x - 2
Hope this helps :)