SOLUTION: Find the equation of a line that passes through the point (1,7) and is perpendicular to a line that passess through the points (-1,4) and (1,-2). Write the equation in slope- inter

Algebra ->  Graphs -> SOLUTION: Find the equation of a line that passes through the point (1,7) and is perpendicular to a line that passess through the points (-1,4) and (1,-2). Write the equation in slope- inter      Log On


   

Question 1048367: Find the equation of a line that passes through the point (1,7) and is perpendicular to a line that passess through the points (-1,4) and (1,-2). Write the equation in slope- intercept form
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Step 1: Calculate the slope of the line that passes through and . Use the slope formula:



where and are the coordinates of the given points.

Step 2: Perpendicular lines have negative reciprocal slopes. So, calculate the negative reciprocal of the slope found in Step 1. That is to say, calculate:



Step 3: Derive an equation of the line that has slope and passes through using the Point-Slope form of an equation of a line:



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

Step 4: Solve the equation derived in step 3 for in terms of everything else, which is to say put the result of step 3 into form.

John

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