How do you write an equation in slope-intercept form for the line that passes through #(4,-2)# and is parallel to the graph of #y=1/2x-7#?
Equation of line through
The given equation is in the form
Parallel lines have equal slopes, so the slope of the line we are trying to find is
Next, use the point-slope form of a line:
Use the slope intercept form of a line (again with
The equation is then