You pick any value of x ... 1, 2, -1, 0, .... just any value and then ypu subsitute into the euqation of the line to find the y-coordinate.

You do not need to find the intersection point. First you will need to find two two points on each line and then draw a line through these points. The lines will meet at the intersection points.

For example.

y= 2x

We will find two points on the graph.

==> let x= 1 ==> y = 2*1 = 2==> (1,2) is on the graph.

==> let y= 0 ==> y= 0 ==> The point (0,0) is on the graph too.

Now we will find the points on the graph and then connect between them with a line that we can extend far from the points.

The same for the line 3x-y = -2

==> let x= 1 ==> 3 -y= -2 ==> y= 5 ==> (1,5) on the graph.

==> x= 0 ==> y= 2 ==> (0,2) is on the graph.

Now we can draw a line between those points.

Given the equations:

y= 2x

3x -y= -2

To solve numerically, we will substitute with y= 2x in the equation 3x-y = -2

==> 3x -y = -2

==> 3x - (2x) = -2

==> 3x -2x = -2

==> x = -2

Now we will substitute in y= 2x to find y.

==> y= 2x = 2*-2 = -4

**Then the solution is the point (-2, -4)**

To solve graphically, we need to draw each line and find the point of intersection between both lines.

==> y= 2x ( Black line)

==> 3x-y=-2 (red line)

**We notice that the lines intersect at the point (-2, -4).**