SOLUTION: write an equation of the line containg the given point and parrel to the given line express your answer in the form of y=mx+b
(4,8); x+4y=7
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Question 174262: write an equation of the line containg the given point and parrel to the given line express your answer in the form of y=mx+b
(4,8); x+4y=7
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.
Subtract from both sides.
Rearrange the terms.
Divide both sides by to isolate y.
Break up the fraction.
Reduce.
We can see that the equation has a slope and a y-intercept .
Since parallel lines have equal slopes, this means that we know that the slope of the unknown parallel line is .
Now let's use the point slope formula to find the equation of the parallel line by plugging in the slope and the coordinates of the given point )
.
Start with the point slope formula
Plug in , , and
Distribute
Multiply
Add 8 to both sides.
Combine like terms.
So the equation of the line parallel to that goes through the point is .
Here's a graph to visually verify our answer:
Graph of the original equation (red) and the parallel line (green) through the point .
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