Also, what is the slope of a line whose graph is perpendicular to the graph of -6x+y=4?

-6x + y = 4

you can move the variables around to get the form: y = mx + b, which is the slope intercept form.

y = 6x + 4

here: m = 6, b = 4

m is the slope of the line, so slope is **6**

any line parallel to this line will also have the slope of 6

any line perpendicular to the given line will have the slope of: -1/m_{1 }

we know m_{1 }= 6, so the perpendicular line will have the slope of: -1/6