Find the equation of the straight that passes through the points #(0, 1)# and #(2, 4)# ?

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Answer 1 · 2017-02-28T02:37:34

#y=3/2x+1#

To find the slope #(m)# of the straight line that passes through two points #(x_1, y_1)# and #(x_2, y_2)# apply:

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

In this example our two points are #(0, 1)# and #(2, 4)#

Hence: #(1-4) = m(0-2)#

#-3 = -2m -> m=3/2#

The equation of a straight line in slope #(m)# and intercept #(c)# form is:

#y=mx+c#

In this example:

#y=3/2x + c#

Since the point #(0, 1)# is on this line #-> 1=0+c#

Hence, #c=1#

#:. y = 3/2x+1# is our required straight line.