Question

Choose the graph that shows this system of equations.y = –3 + 1/2x3x + 2y = 2

Answer 1

Graph B

Step-by-step explanation

We have to select the graph that shows the system.

In this case, we have two lines: the first one is a line with a positive slope passing through the point (0, -3) since -3 is the y-intercept. Only graphs B and D show a line with these characteristics.

The second equation is also a line. If we solve that equation for y, we can identify both the slope and the y-intercept,

`\begin{gathered} 2y=-3x+2 \\ \\ y=-(3)/(2)x+1 \end{gathered}`

So the graph of the second equation is a line with a negative slope passing through the point (0, 1) since 1 is the y-intercept. The only graph that has two lines with the characteristics mentioned is graph B.

Hence, the graph showing the system is graph B.