Answer: To find the x-intercept of a line, we set y equal to 0 and solve for x. To find the y-intercept of a line, we set x equal to 0 and solve for y.
For the line 5x + 17y = -25, we set y equal to 0 to find the x-intercept:
0 + 17y = -25
17y = -25
y = -25/17
Since we set y equal to 0, the x-intercept is (0, 0).
For the line 6x - 7y = -21, we set x equal to 0 to find the y-intercept:
6x - 7y = -21
-7y = -21
y = 21/7
Since we set x equal to 0, the y-intercept is (0, 21/7).
Therefore, the x-intercept of the line 5x + 17y = -25 is (0, 0) and the y-intercept of the line 6x - 7y = -21 is (0, 21/7).