SOLUTION: The equation of line q is 5y - 4x = 10. Write the standard form of the equation of the line that fits the following description: parallel to q and passes through the point at (

Algebra.Com
Question 918917: The equation of line q is 5y - 4x = 10. Write the standard form of the equation of the line that fits the following description:
parallel to q and passes through the point at (-15, 8)
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
The equation of line is




find: the line parallel to and passes through the point at (,)
Solved by pluggable solver: Finding the Equation of a Line Parallel or Perpendicular to a Given Line


Since any two parallel lines have the same slope we know the slope of the unknown line is (its from the slope of which is also ). Also since the unknown line goes through (-15,8), we can find the equation by plugging in this info into the point-slope formula

Point-Slope Formula:

where m is the slope and (,) is the given point



Plug in , , and



Distribute



Multiply



Add to both sides to isolate y

Make into equivalent fractions with equal denominators



Combine the fractions



Reduce any fractions

So the equation of the line that is parallel to and goes through (,) is


So here are the graphs of the equations and



graph of the given equation (red) and graph of the line (green) that is parallel to the given graph and goes through (,)
RELATED QUESTIONS

write the equation of the line through (-p, q ) that is parallel to the line -2x+y=12 in (answered by checkley71,josmiceli)
write an equation of the line that passes through (2,3) and perpendicular to... (answered by Alan3354)
Write the equation of the line through (5, 3) that is parallel to 4x + 5y = 12. (answered by MathLover1,MathTherapy)
find the equation of the line that is parallel to the graph of 3x-5y=3 and passes through (answered by josgarithmetic,lwsshak3)
write an equation in standard form of the line that passes through the point p(-3,2) and... (answered by josgarithmetic)
find the equation of the line that is parallel to the graph 2x-5y+3 and passes through... (answered by josgarithmetic)
Write the slope intercept form of the equation of each line: 5y+7x+10=0 (answered by solver91311)
What is the standard form of the equation of the line passing through the point (5,5) and (answered by sachi)
write the equation of the line passing through (4,8) and parallel to... (answered by htmentor)