What is the equation of the line that goes through #(0, 7)# and #(1,9)# in point-slope form?

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Answer 1 · 2016-10-31T18:25:41

The line's equation is: #y - 7 = 2 x# or #y = 2 x + 7#.

The expression of line's equation in point-slope form is:

#y - y_0 = m (x - x_0)#

or:

#y = m (x - x_0) + y_0#,

where the slope #m# can be obtained from:

#m = {Delta y}/{Delta x} = {y_1 - y_0}/{x_1 - x_0}#.

Using the points:

#(x_1, y_1) = (1, 9)# and #(x_0, y_0) = (0, 7)#,

we obtain:

#m = {9 - 7}/{1 - 0} = 2#

and then:

#y = m (x - x_0) + y_0 " " rArr " " y = 2 (x - 0) + 7 " " rArr#

#rArr " " y = 2 x + 7#