SOLUTION: Can someone explain how to find the distance from (-5,6) to the line defined by y=-5x+7. Express as a radical or a number rounded to the nearest hundredth.

Algebra ->  Length-and-distance -> SOLUTION: Can someone explain how to find the distance from (-5,6) to the line defined by y=-5x+7. Express as a radical or a number rounded to the nearest hundredth.      Log On


   

Question 755452: Can someone explain how to find the distance from (-5,6) to the line defined by y=-5x+7. Express as a radical or a number rounded to the nearest hundredth.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Step 1: Find the slope of the line represented by the given equation.

Step 2: Calculate the negative reciprocal of that slope.

Step 3: Using the point-slope form of an equation of a line, the slope calculated in step 2, and the given point, derive an equation of the line perpendicular to the given line that passes through the given point.

Step 4: Using your choice of method, solve the system of equations formed by the given equation and the equation derived in Step 3.

Step 5: Using the distance formula, the given point, and the point of intersection derived in Step 4, calculate the distance from the point to the point of intersection of the two lines. Express as a radical or a number rounded to the nearest hundredth, as instructed.

John

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