Question

Find the x-and y-intercept s of the line 6x-9y=10 Write your answers as integers or as simplified proper or improper fractions, not as ordered pairs. x-intercept: y-intercept:

Answer 1

The x-intercept of the line 6x-9y=10 is 5/3, and the y-intercept is -10/9. These values indicate where the line crosses the x-axis and y-axis, respectively.

Step-by-step explanation:

To find the x-intercept of the line 6x-9y=10, we need to set y to 0 and solve for x :

6x - 9(0) = 10
6x = 10
x = 10/6
x = 5/3

So, the x-intercept is 5/3 .

To find the y-intercept, we set x to 0 in the equation:

6(0) - 9y = 10
-9y = 10
y = -10/9

The y-intercept is -10/9.

These intercepts show where the line crosses the respective axes. Knowing the slope and y-intercept help in graphing linear equations and understanding the rate of change in a relationship between two variables.