What is the equation in point-slope form of the line given (3,7); m=0?

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Answer 1 · 2018-03-23T04:53:21

The line is #y=7#.

The line passes through the points #(3,7)# and has a slope of #m=0#.

We know that the slope of a line is given by:

#m=(y_2-y_1)/(x_2-x_1)#

And so,

#(y_2-y_1)/(x_2-x_1)=0#

#:.x_2!=x_1,y_2=y_1#

Choosing a y-coordinate, we see that it passes through #(3,7)#, and so #y_2=y_1=7#.

Therefore, the line is #y=7#.

Here is a graph of the line:

graph{y=0x+7 [-4.54, 18.89, -0.84, 10.875]}