The x intercept is [tex](\frac{18}{5} , 0)[/tex]
The y intercept is (0, -2)
Solution:
Given equation is:
-5x + 9y = -18
We have to find the y intercept and x intercept
The x-intercept is the point at which the line crosses the x-axis. At this point, the y-coordinate is zero.
The y-intercept is the point at which the line crosses the y-axis. At this point, the x-coordinate is zero
To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'.
Substitute y = 0 in given equation
[tex]-5x + 9(0) = -18\\\\-5x = -18\\\\x = \frac{18}{5}[/tex]
[tex]\text{Thus the x - intercept is } (\frac{18}{5}, 0)[/tex]
To find the y-intercept, plug 0 in for 'x' and solve for 'y'
Substitute x = 0 in given equation
[tex]-5(0) + 9y = -18\\\\9y = -18\\\\y = -2[/tex]
Thus the y intercept is (0, -2)
