(3,7)(2,6) find the equation for the line that falls through the two ordered pairs

The equation for the two given points is y=x+b

Step-by-step explanation:

Step 1. First find the slope: 6-7/2-3 = -1/-1=1. The slope is just 1, or x. So for now, the equation is y=x+b

Step 2. We must find the y-intercept, or B. We can plug in any points to find b. Let's use (2, 6) (but you can use (3, 7) too, it doesn't matter) Plug 2 in for x, since 2 represents x, and then do the same for y. ---> 6=2+b.

Step 3. Simplify. 6=2+b. 6-2=2-2+b ---> b=4. Subtract both sides by 2 to get B.

The equation for the two given points is y=x+b

Hope this helps.