Answer:
The graph is attached.
The intersection point: [tex](-1,6)[/tex]
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope and "b" is the y-intercept.
When the line passes through the origin, the equation is:
[tex]y=mx[/tex]
Where "m" is the slope of the line.
Given the following equation of the line in Slope-Intercept form
[tex]y=-2x+4[/tex]
You notice that:
[tex]m=-2\\\\ b=4[/tex]
Knowing the slope and the y-intercept, you can graph it.
The other line is:
[tex]y=-6x[/tex]
As you can identify, this line passes through the origin and its slope is:
[tex]m=-6[/tex]
Then, you can graph it.
Observe the graph attached.
You can identify that the point in which both lines intersect, is:
[tex](-1,6)[/tex]
