Answer:
x-intercept = 7/4
y-intercept = -14/5
Explanation:
Finding the x-intercept:
- For any x-intercept, the y-coordinate is 0 since that line is intersecting the x-axis.
Thus, we can find the x-intercept by substituting 0 for y and solving for x:
8x - 5(0) = 14
(8x = 14) / 8
x = 7/4
Thus, the x-intercept is 7/4.
If you prefer to use the decimal, the x-intercept is 1.75.
Finding the y-intercept:
- Similarly, the x-coordinate for any y-intercept is 0, since the line is intersecting the y-axis.
Thus, we can find the y-intercept by substituting 0 for x and solving for y:
8(0) - 5y = 14
(-5y = 14) / -5
y = -14/5
Thus, the y-intercept is -14/5.
If you prefer to use the decimal, the y-intercept is -2.8.