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.

$y=\frac{1}{2}x+7$

When x = 0

$\begin{gathered} y=\frac{1}{2}\cdot0+7 \\ y=7 \end{gathered}$

When y = 9.

$\begin{gathered} 9=\frac{1}{2}x+7 \\ 9-7=\frac{1}{2}x \\ \frac{1}{2}x=2 \\ x=4 \end{gathered}$

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

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