x - intercept is [tex]\frac{21}{5}[/tex] and y - intercept is [tex]\frac{-7}{2}[/tex]
Solution:
Given that we have to find the y - intercept and x - intercept
Given equation is:
5x - 6y = 21
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
Finding x - intercept:
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 - 6(0) = 21\\\\5x = 21\\\\x = \frac{21}{5}[/tex]
Thus x - intercept is [tex]\frac{21}{5}[/tex]
Finding y - intercept:
To find the y-intercept, plug 0 in for 'x' and solve for 'y'
Substitute x = 0 in given equation
[tex]5(0) - 6y = 21\\\\-6y = 21\\\\-2y = 7\\\\y = \frac{-7}{2}[/tex]
Thus y - intercept is [tex]\frac{-7}{2}[/tex]