What is the equation of the line that passes through the point (−6,4) and has a slope of negative 5 over 6

y = -5/6x -1

Step-by-step explanation:

The three components needed to create the equation of a line are: the x and y coordinates, the slope, and the y intercept.

Both the x and y coordinates and the slope is given. To find the y intercept, we will create an equation following the template of point-slope form.

y = slope * x + y int.

4 = -5/6 * -6/ + y int.

4 = 5 + y int.

y int. = -1

We will reinstate this into our equation, and this will be our answer!

y = -5/6x -1

This is the equation!