SOLUTION: write an eqation in point slope form of the line that is parrallel to the given line and passes through the given point. y=5x+4, (0,0) y=-1x+2, (8,-7)

Discussion





The first thing to realize is that parallel lines have equal slopes, so in a

problem like this, you first need to determine the slope of the given line.

The best way to do this is to put the given equation into slope-intercept form

() by solving the equation for y.





Your next task is to write an equation in point-slope form (),

using the slope you determined from the given equation and the given point.





I'll show you how to do one of the problems, and then you should be able to do the other one.







Solution









This equation is already in the slope-intercept form, so the first step is

done.  You can determine the slope of the line by examining the coefficient on

the x term -- 5 in this case.





Now take the coordinates from the given point, (0,0), and substitute them and

the value of the slope into the point-slope form of the line:









, which is the desired equation.











Check Answer











The red line is a graph of your given equation, and the green line is the 

graph of the derived parallel line equation.