What is the equation below that represents the line that passes through the point (2, 4) and has a a slope of 3?

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Answer 1 · 2016-12-13T14:33:40

#y - 4 = 3(x - 2)# or in standard form #y = 3x - 2#

The point-slope formula gives the equation of a line given the slope and a point. This formula is:

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

where #m# is the slope and #(x_1, y_1) is the point.

Substituting the information provided into the point-slope formula gives:

#y - 4 = 3(x - 2)#

Putting into standard form gives:

#y - 4 = 3x - 6#

#y - 4 + 4 = 3x -6 + 4#

#y - 0 = 3x - 2#

#y = 3x - 2#