SOLUTION: Write the point-slope form of the equation of the line described. through: (2, -5), parallel to y = - 5/2x + 2

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Question 995754: Write the point-slope form of the equation of the line described.

through: (2, -5), parallel to y = - 5/2x + 2
Found 2 solutions by MathLover1, solver91311:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
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 (2,-5), 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



Subtract from 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 (,)
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


The equation of the given line is written in slope-intercept form. Hence, you can determine the slope by inspection. Parallel lines have identical slopes. Use the Point-Slope form:



where are the coordinates of the given point and is the given slope.

John

My calculator said it, I believe it, that settles it

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