To determine the equation of a line given that you know its slope and a point you can use the point-slope form:

Where
m represents the slope of the line
(x₁,y₁) represents the coordinates of the point crossed by the line
We know that the slope of the line is m=-4 and the coordinates of the point are x₁=8 and y₁=-10, replace these values in the point-slope form:

To write the equation in slope-intercept form, first, distribute the multiplication on the parentheses term:

Next, pass 10 to the right side of the equation by applying the opposite operation "-10" to both sides of it:

The equation of the line is y=-4x+22