5x - 6y = 24
subtract 5x from both sides
5x - 6y - 5x = 24 - 5x
-6y = 24 - 5x
Divide both sides by - 6
-6y / - 6 = 24 - 5x / -6
y = 1/6 ( 5x - 24 )
x - axis interception points of 1/6 ( 5x - 24 )
x - intercept is a point on the graph where y = 0
solve 1/6 ( 5x - 24 ) = 0
5x - 24 / 6 = 0
5x - 24 = 0
x = 24 / 5
point x : ( 24/5 and 0 )
x - intercept is a point on the graph where x = 0
solve y = 1/6 ( 5x - 24 )
y = 1/6 ( 5 * 0 - 24 )
y = - 4
point y : ( 0 and - 4 )
attached graph
hope this helps!
