How do you write an equation in standard form for a line which passes through (2, 3) and (1, 0)?

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Answer 1 · 2018-03-17T16:21:15

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To write an equation in standard form, we need to know the slope and the y-intercept of the equation.

To find the slope, we divide the difference of the 2 y-coordinates (3 and 0) by the difference of the x-coordinates (2 and 1).

#(3-0)/(2-1)=3#

The slope is 3

To find the y-intercept, we would plug in one of the coordinate pairs.

#y=3x+b rarr# This is our current equation, where 3 is the slope and b represents the unknown y-intercept.

#3=3*2+b rarr# Plug in the points, then solve for b

#3=6+b#

#b=-3#

Now, substitute -3 in for b.

#y=3x-3# is your equation