Question

11) Find the x-intercept of the following line: -6x + 5y = 30

Answer 1

Given the equation of the line:

`-6x+5y=30`

The x-intercept is the point where the line crosses the x-axis, at this point the value of y is zero. To determine the x-intercept, replace the equation of the kine with y=0 and solve for x:

`\begin{gathered} -6x+5y=30 \\ -6x+5\cdot0=30 \\ -6x=30 \end{gathered}`

Divide both sides by -6

`\begin{gathered} (-6x)/(-6)=(30)/(-6) \\ x=-5 \end{gathered}`

The x-intercept of the line is (-5,0)