Question

2. The line graphed on the grid represents the first of two equations in a system of linear equations.

Answer 1

The equation of the line graphed can be calculated chosen two points of the line

(0,3)=(x1,y1)

(2,6)=(x2,y2)

we need to find the slope m

$m=\frac{6-3}{2-0}=\frac{3}{2}$

the equation of the line graph is

$y=\frac{3}{2}x+3$

The second equation

$m=\frac{-7-2}{-4-2}=\frac{-9}{-6}=\frac{3}{2}$

the second equation is

$y=\frac{3}{2}x-1$

As we can see the lines are parallels because they have the same slope so the system has no solutions