209k views
1 vote
Find the x- and y-intercepts of the line 15x - 9y = -21.

Write your answers as integers or as simplified proper or improper fractions, r
pairs.
x-intercept:
y-intercept:
Submit
CLA

1 Answer

4 votes

Final answer:

The x-intercept is (-7/5, 0), and the y-intercept is (0, 7/3).


Step-by-step explanation:

To find the x-intercept, set y = 0 in the equation and solve for x. Substitute y = 0 into the equation:

15x - 9(0) = -21 → 15x = -21 → x = -21/15 = -7/5

So the x-intercept is (-7/5, 0).

To find the y-intercept, set x = 0 in the equation and solve for y. Substitute x = 0 into the equation:

15(0) - 9y = -21 → -9y = -21 → y = -21/-9 = 7/3

So the y-intercept is (0, 7/3).


Learn more about Intercepts in linear equations

User Fan Cheung
by
7.3k points