What is the equation in point-slope form of the line that passes through equation in the given points (4,1) and (-2,7)?

1 Answer
Apr 13, 2018

Answer:

#y - 1 = -(x-7)#

Here's how I did it:

Explanation:

Point-slope form is shown here:

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As you can see, we need to know the value of the slope and one point value.

To find the slope, we use the formula #("change in y")/("change in x")#, or #(y_2-y_1)/(x_2-x_1)#.

So let's plug in the value of the points:
#(7-1)/(-2-4)#

Now simplify:
#6/-6#

#-1#

The slope is #-1#.

Since we have the value of two points, let's put one of them into the equation:
#y - 1 = -(x-7)#

Hope this helps!