Question

Find the x-intercept of the line represented by the equation:-2x - 7y = 56

Answer 1

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

`\begin{gathered} -2x-7y=56 \\ -2x-7\cdot0=56 \\ -2x=56 \end{gathered}`

Divide both sides by -2 to determine the value of x:

`\begin{gathered} (-2x)/(-2)=(56)/(-2) \\ x=-28 \end{gathered}`

The x-intercept is (-28,0)