SOLUTION: graph the line that goes through point (3,8) and is parallel to the line whose equation is 6y-10x=30

Question 448805: graph the line that goes through point (3,8) and is parallel to the line whose equation is 6y-10x=30
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
(3,8) and is parallel to the line whose equation is 6y-10x=30
-10x+6y=30
Find the slope of this line
y=10x+30
Divide by 6
y=1.67x +5
Compare this equation with y=mx+b
slope m = 1.67
The slope of a line parallel to the above line will be the same
The slope of the required line will be 1.67
m= 1.67 ,point (3,8)
Find b by plugging the values of m & the point in
y=mx+b
8=5.00+b
b=3
m=1.67
Plug value of the slope and b
The required equation is y=1.67 x+3
...
y=1.67 x+3
when x= 0 y= 3 ( 0 , 3 )
when y = 0 x= -1.8 ( -1.8 , 0 )

RELATED QUESTIONS
Find the equation of a line that is parallel to 2x + 6y = 5 and that goes through the... (answered by TimothyLamb)

Write the equation of the line that goes through the point (−6, −7) and... (answered by Fombitz)

What is the equation of a line that is parallel to y=4x -3 and goes through the point... (answered by MathLover1)

1) is the equation of a line that is perpendicular to the line given by the equation y=2? (answered by Boreal)

How do I write the equation of the line that goes through the point (-6,8) and is... (answered by ewatrrr)

what is an equation of the line that passes through the point (-2,1)and is parallel to... (answered by josgarithmetic,greenestamps)

Suppose a line goes through the point (-2,4) and is parallel to the line passing through... (answered by lwsshak3)

The equation of the line that goes through the point (3,2) and is parallel to the line... (answered by MathLover1)

Find the linear equation whose graph goes through (1/3, 0) and parallel to the line 6x -... (answered by jim_thompson5910)