Question

This is the question

Answer 1

To graph a linear equation, we have to find its intercepts first.

First equation

`y=-x-5`

The y-intercept is found when x = 0

`y=-0-5=-5`

The x-intercept is found when y = 0.

`\begin{gathered} 0=-x-5 \\ 5=-x \\ x=-5 \end{gathered}`

The intercepts of the first equation are (0,-5) and (-5,0).

Second equation.

`y=(1)/(2)x+7`

When x = 0

`\begin{gathered} y=(1)/(2)\cdot0+7 \\ y=7 \end{gathered}`

When y = 9.

`\begin{gathered} 9=(1)/(2)x+7 \\ 9-7=(1)/(2)x \\ (1)/(2)x=2 \\ x=4 \end{gathered}`

The intercepts of the second equation are (0,7) and (4,9).

At last, we plot the points and draw the lines.