To find the y-intercept and x-intercept of the equation -25x + y = 15, we need to solve for y when x = 0 (to find the y-intercept) and solve for x when y = 0 (to find the x-intercept).
1. Finding the y-intercept:
To find the y-intercept, we set x = 0 and solve for y.
So, we substitute x = 0 into the equation: -25(0) + y = 15.
Simplifying the equation, we have:
0 + y = 15,
y = 15.
Therefore, the y-intercept is the point (0, 15).
2. Finding the x-intercept:
To find the x-intercept, we set y = 0 and solve for x.
So, we substitute y = 0 into the equation: -25x + 0 = 15.
Simplifying the equation, we have:
-25x = 15,
x = 15/-25,
x = -3/5.
Therefore, the x-intercept is the point (-3/5, 0).
In summary:
The y-intercept is (0, 15), and the x-intercept is (-3/5, 0).