Which line has a slope of 7 and goes through the point (3,6)?

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Answer 1 · 2018-04-07T03:36:03

#y-6=7(x-3)larr# Point-Slope form

We'll make use of the point-slope formula which is:

#y-y_1=m(x-x_1)#

In this case, #m# is the slope which is #7#, so #m=7#

Also, #(x_1,y_1)# is a point on the line and we are given the point #(3,6)#. So #(x_1,y_1)=(3,6)#

Substituting this into the point slope formula gives...

#y-6=7(x-3)#

This is a valid equation of the line in point-slope form. However, we can rewrite this is a more familiar form: slope-intercept form #(y=mx+b)#

To do this, all we do is solve for #y#

#y-6=7(x-3)#

#y-6=7x-21#

#y=7x-21+6#

#y=7x-15#

Use the following link to see both variations of the equations of the line passing thorugh the point #(3,6)#