# 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#?

##### 1 Answer

Nov 19, 2016

#### Explanation:

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:

OR

Use the slope intercept form of a line (again with

Plug in

The equation is then