Answer
The given statement is true.
Work Step by Step
The given linear function is $ 5x+6y=30 $ ... (1)
The standard $ y- $ intercept form is
$ y=mx+c $
Isolate the $ y $ in equation (1).
$ y=-\frac{5}{6}x+\frac{30}{6} $
Where, the slope is $ m= -\frac{5}{6}$. It is true
If the line passing through the point $ (6,0) $.
then it must satisfy the linear function plug the point into equation (1).
$ 5(6)+6(0)=30 $
$ 30+0=30 $
$ 30=30 $ True.
