The graph of `y=6x-4` will look like this:

Note how it crosses the y axis at -4

The equation of the line with slope of 6 and y-intercept of -4 can be found by looking at the slope-intercept form of a line.

The slope-intercept form of a line is written as `y=mx+b `, where `m ` is the slope and `b` is the y-intercept.

The question contains all of the information that is needed. Once you substitute the values from the question into the equation of the line you get:

`y=6x+(-4)`

`y=6x-4`

You can verify this is the correct equation by plotting the equation on www.desmos.com, and verifying that the line intercepts the y-axis at the point (0,-4). You can also verify that the slope is 6 by checking that the slope is positive and your y-value increases by 6 for every increase of 1 for your x-value.

The equation of the line with slope of 6 and y-intercept of -4 is:

`y=6x-4`