Question

does the line y=-x+2 have equal x- and y-intercepts?

Answer 1

here is where the intercept form of a line comes in handy. If the x- and y-intercepts are a and b, then
x/a + y/b = 1
Rearranging your equation, we get
x/2 + y/2 = 1
so the intercepts are the same: 1

Answer 2

False

Answer 3

Sorry, there was an error in my previous answer. The correct answer is that the line y=-x+2 doesn't have equal x- and y-intercepts.

To find the x-intercept (where the line crosses the x-axis), we set y=0 and solve for x:

0 = -x+2

x = 2

So the x-intercept of this line is (2,0).

To find the y-intercept (where the line crosses the y-axis), we set x=0 and solve for y:

y = -0+2

y = 2

So the y-intercept of this line is (0,2).

Therefore, the x- and y-intercepts of the line y=-x+2 are different and not equal.