SOLUTION: If the line through (1, 3) and (a, 9) is parallel to 3x-5y=2, what is a? Please help me.

SOLUTION: If the line through (1, 3) and (a, 9) is parallel to 3x-5y=2, what is a? Please help me.

Algebra.Com

Question 49902: If the line through (1, 3) and (a, 9) is parallel to 3x-5y=2, what is a?
Please help me.
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
3x - 5y = 3
-5y = -3x + 3
5y = 3x - 3
y = 3x/5 - 3/5
Parallel to ~> slope = 3/5
P(1,3) and P(a,9)
M = (y2 + y1)/(x2 + x1) = (9 + 3)/(a + 1) = 12/(a + 1)
The slope(M) must equal 3/5.
12/(a + 1) = 3/5
(a + 1)/12 = 5/3
a + 1 = 20
a = 19
RELATED QUESTIONS
please help me slove this equation: passes through (2,-3) and is parallel to the line... (answered by MathLover1)

I am having a dog of a time trying to solve these problems, please help me. Write the... (answered by scott8148)

please help with graphing and linear equations question 1) what is the slope of..... (answered by solver91311,MathLover1)

please help me with this question: write the equation of a line that is parallel to y =... (answered by solver91311)

what is the equation of a line that passes through (-5, 1) and is parallel to y = x + 4 ? (answered by mananth,htmentor,ikleyn)

Write a slope intercept equation for a line passing through the given point that is... (answered by Fombitz)

Find a linear equation whose graph is the straight line with the given property.... (answered by TimothyLamb)

Here is the question I'm stuck on: Give an equation of each line described: a)... (answered by MathLover1)

Im studying right now in College Algebra... parallel and perpendicular lines I'm stuck... (answered by lwsshak3)