Write an equation that describes the function

y= –x + 1

Step-by-step explanation:

to write an equation in slope-intercept form, y = mx + b, calculate the slope, m, as rise/ run

The difference in y-values, rise, is –2

The difference between x-values is 2

–2/2 = m, the slope is –1

substitute for m, and it use any set of given y and x values in the equation to solve for b.

y= mx +b

–2 = –1(3) + b. Add 3 to both sides.

3 –2 = 3 –3 + b

1 = b

use the calculated m and b to write the equation with y and x

y = –x + 1