Question

choose the x-intercept and y-intercept of the equation 6x-y=7a (0,-7)b (0,7)c (6/7,0)d (7/6,-7)e (7/6,0)

Answer 1

Given:

$6x-y=7$

Find-: X-intercept and Y-intercept of the equation.

Sol:

For X-intercept value of "y" is zero.

$\begin{gathered} 6x-y=7 \\ \\ y=0 \end{gathered}$

So, the x-intercept is:

$\begin{gathered} 6x-y=7 \\ \\ y=0 \\ \\ 6x-0=7 \\ \\ 6x=7 \\ \\ x=\frac{7}{6} \end{gathered}$

The x-intercept is 7/6.

The Y-intercept of the equation then the value of "x" is zero.

$\begin{gathered} 6x-y=7 \\ \\ x=0 \end{gathered}$

So, the y-intercept is:

$\begin{gathered} 6x-y=7 \\ \\ x=0 \\ \\ 6(0)-y=7 \\ \\ 0-y=7 \\ \\ y=-7 \end{gathered}$

So, the y-intercept is -7.

$(x-\text{ intercept, }y-\text{ intercept\rparen = \lparen}\frac{7}{6},-7)$