Graph y=-2x+4 and y=-6x what are the intersections points for x and y

The graph is attached.

The intersection point:  

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.

 When the line passes through the origin, the equation is:

Where "m" is the slope of the line.

Given the following equation of the line in Slope-Intercept form

You notice that:

Knowing the slope and the y-intercept, you can graph it.

The other line is:

As you can identify, this line passes through the origin and its slope is:

Then, you can graph it.

Observe the graph attached.

You can identify that the point in which both lines intersect, is: