SOLUTION: Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y = mx+b.
(-2,8; 9x = 5y + 2 The equation of the line
Algebra.Com
Question 553652: Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y = mx+b.
(-2,8; 9x = 5y + 2 The equation of the line is y= _____
Simplfy your answer. Use intergers for any numbers in the expression.
Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
Equation of the line slope-intercept form
y=mx+b
Given
Equation of the Given line
9x=5y+2
Rearrange above equation according to slope-intercept form
5y=9x-2
5y/5=(9x-2)/5
y=9/5(x)-2/5
Compare with the equation of line slope-intercept form
Slope of the given = m = 9/5
Since lines are parallel their slope will be same
Slope of the required line = m = 9/5
Point (-2, 8)
We have a point and slope we can get easily the require line equation.
Use Equation of the line point-slope form
m = y2-y1/x2-x1
Put the values in above equation, we have
9/5=(y-8)/(x-(-2))
9/5=(y-8)/(x+2)
9(x+2)=(y-8)5
9x+18=5y-40
9x+18+40=5y
9x+58=5y
(9x+58)/5=5y/5
9/5(x)+58/5=y
y=9/5(x)+58/5
Above equation is the equation of the required line in the form of y=mx+b
RELATED QUESTIONS
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)
Hello!
Write an equation of the line containing the given point and parallel to the... (answered by jim_thompson5910)
Please help. Write an equation of the line containing the given point and the parallel to (answered by oberobic)
Write an equation of the line containing the given point and parallel to the given line. (answered by checkley77)
write an equation of the line containing the given point and parallel to the given line... (answered by Alan3354)
write an equation of the line containing the given point and parallel to the given line.... (answered by Fombitz)
write an equation of the line containing the given point and parallel to the given line.... (answered by mananth)
Write an equation of the line containing the given point and parallel to the given line. (answered by Fombitz)
write an equation of the line containing the given point and parallel to the given line.... (answered by mananth)