Determine the intercepts of the line

y-intercept:  (0,5); x-intercept:  (5/2, 0)

Step-by-step explanation:

The equation of the line is given:  -4x + 7 = 2y - 3.

To find the x-intercept, set y = 0 and solve for x:

-4x + 7 = 0 - 3.  This becomes -4x = -10, or x = 5/2.  The x-intercept is (5/2, 0).

To find the y-inercept, set x = 0 and solve for y:

0 + 7 = 2y - 3, or 2y = 10, or y = 5.  Then the y-intercept is (0, 5).