SOLUTION: Write an equation of the line containing the given point and parellel to the given line. Express your answer in the form y=mx+b.
(-6,8); 8x=7y+4
Algebra.Com
Question 574774: Write an equation of the line containing the given point and parellel to the given line. Express your answer in the form y=mx+b.
(-6,8); 8x=7y+4
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
You can start with the fact that parallel lines have identical slopes.
Find the slope of the line given by the equation:
8x = 7y+4 Convert to slope-intercept form:
So the slope is
The new equation will start out as:
y = (8/7)x+b
Now find the value of b by substituting the x- and y-coordinates of the given point (-6, 8)
8 = (8/7)(-6)+b Simplify.
8 = -48/7 + b Solve for b.
b = 8+48/7
b = 56/7+48/7
b = 104/7
The final equation is:
RELATED QUESTIONS
Write an equation of the line containing the given point and parellel to the given line.... (answered by madhujiithcharu@yahoo.co.in)
Write an equation of the line containing the given point and parellel to the given line. (answered by checkley77)
Write an equation of the line containing the given point and parellel to the given line.... (answered by ankor@dixie-net.com)
write an equation of the line containing the given point and parellel to the given line. (answered by solver91311)
Write an equation of the line containing the given point and perpendicular to the given... (answered by Alan3354)
Write an equation of the line containing the given point and perpendicular to a given... (answered by stanbon,Alan3354)
Write an equation of the line containing the given point and parallel to the line.... (answered by ewatrrr)
Write an equation of the line containing the given point and parallel to the given.... (answered by nyc_function)
write an equation of the line containing the given point perpendicular to the given line. (answered by jim_thompson5910)