SOLUTION: PLEASE HELP ASAP!!!!!!!!! Calculate the shortest distance from the given point to th line indicated. (2,1) to x-y=-1

Question 722869: PLEASE HELP ASAP!!!!!!!!!
Calculate the shortest distance from the given point to th line indicated.
(2,1) to x-y=-1
Found 2 solutions by josgarithmetic, solver91311:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
I won't do it for you but I'll describe a method to answer the question.
Find slope of a general line perpendicular to x-y=-1. Form the equation for this general line, and use the given point (2,1) to determine the equation for this line. Next, find the intersection point of this new line and the given line of x-y=-1. Now you have two points. The intersection of the two lines and the point (2,1). Use the distance formula to find the distance between these two points.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Put the equation of the given line into slope-intercept form. Then calculate the negative reciprocal of that slope.

Using the point-slope form of an equation of a line, the given point, and the negative reciprocal slope you just calculated, write an equation of the line perpendicular to the given line through the given point.

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

Now the two equations, the one you were given and the one you just derived form a 2X2 system of equations that is guaranteed to be consistent and independent. Solve the system by any convenient means to find the point of intersection between the two lines.

Use the distance formula

Where are the coordinates of the given point and are the coordinates of the point of intersection that you just calculated.

Write for a quote for a full solution, explanation, and graph.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it

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