SOLUTION: find the equation of the following lines, write the answer in slop-intercept form. Parallel to y=3/7x-2 through (4,0)

Algebra ->  Linear-equations -> SOLUTION: find the equation of the following lines, write the answer in slop-intercept form. Parallel to y=3/7x-2 through (4,0)      Log On


   

Question 221025: find the equation of the following lines, write the answer in slop-intercept form.
Parallel to y=3/7x-2 through (4,0)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

We can see that the equation y=%283%2F7%29x-2 has a slope m=3%2F7 and a y-intercept b=-2.


Since parallel lines have equal slopes, this means that we know that the slope of the unknown parallel line is m=3%2F7.
Now let's use the point slope formula to find the equation of the parallel line by plugging in the slope m=3%2F7 and the coordinates of the given point .


y-y%5B1%5D=m%28x-x%5B1%5D%29 Start with the point slope formula


y-0=%283%2F7%29%28x-4%29 Plug in m=3%2F7, x%5B1%5D=4, and y%5B1%5D=0


y=%283%2F7%29%28x-4%29 Simplify


y=%283%2F7%29x%2B%283%2F7%29%28-4%29 Distribute


y=%283%2F7%29x-12%2F7 Multiply


So the equation of the line parallel to y=3%2F7x-2 that goes through the point is y=%283%2F7%29x-12%2F7.


Here's a graph to visually verify our answer:
Graph of the original equation y=%283%2F7%29x-2 (red) and the parallel line y=%283%2F7%29x-12%2F7 (green) through the point .