How do you write the equation of the line with point (2, 5) with a slope of 3?

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Answer 1 · 2017-07-17T01:02:43

Refer to the explanation.

The point-slope equation is used when one point and the slope are known. It is:

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

where #(x_1,y_1)# is the known point, in this case, #(2,5)#, and #m# is the slope, in this case #m=3#.

Substitute the known values into the equation.

#y-5=3(x-2)# #lArr# point-slope form

This equation can be further simplified.

#y-5=3x-6#

Add #5# to both sides.

#y=3x-6+5#

Simplify.

#y=3x-1# #lArr# slope-Intercept form: #y=mx+b#, where

#m# is the slope, and #b# is the y-Intercept.

graph{y-5=3(x-2) [-18.79, 8.62, -7.36, 6.35]}