Final answer:
The x-intercept for the equation 5x-y=2 is (0.4, 0) and the y-intercept is (0, -2), determined by setting y and x to 0 respectively and solving for the other variable.
Step-by-step explanation:
To find the x-intercept and y-intercept of the equation 5x-y=2, we need to follow a series of steps. For the x-intercept, we set y to 0 and solve for x, and for the y-intercept, we set x to 0 and solve for y.
Finding the x-intercept:
Set y to 0:
5x - 0 = 2
5x = 2
x = 2/5
So, the x-intercept is (0.4, 0).
Finding the y-intercept:
Set x to 0:
5(0) - y = 2
-y = 2
y = -2
Thus, the y-intercept is (0, -2).