SOLUTION: The equation of line k is 2x-5y=-3. Write the equation of the line that passes through the point (-1,4) and is parallel to line k.

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Question 337843: The equation of line k is 2x-5y=-3. Write the equation of the line that passes through the point (-1,4) and is parallel to line k.
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

Step 1: Determine the slope of the graph of the given equation. You can proceed either of two ways. 1: Solve the equation for in terms of everything else, which is to say, put it into slope-intercept form . Then determine the slope by inspection of the coefficient on . OR 2: Divide the coefficient on by the coefficient on and then take the additive inverse of that fraction.

Step 2: Determine the slope of the desired line which is equal to the slope calculated in step 1 because:

Step 3: Use the point-slope form of an equation of a line to write your desired equation:

where are the coordinates of the given point and is the slope determined in Step 2.

Note that what you asked to be done cannot technically be done. You asked to write the equation of a line. You cannot write the equation of a line because there are an infinite number of representations of any given line. Therefore you can only write an equation of a line.

John

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