Question

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

Answer 1

The graph is attached.

The intersection point:
`(-1,6)`

Explanation:

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

`y=mx+b`

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

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

`y=mx`

Where "m" is the slope of the line.

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

`y=-2x+4`

You notice that:

`m=-2\\\\ b=4`

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

The other line is:

`y=-6x`

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

`m=-6`

Then, you can graph it.

Observe the graph attached.

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

`(-1,6)`