How do you write an equation of a line given (0,4) and m=2?

1 Answer
Lil Del
Oct 5, 2016

#y = 2x + 4#

Explanation:

We use the point-slope form:
#y -y_1 = m(x -x_1)#
where #x_1# and #y_1# are the coordinates of a point on the line and #m# is the slope of the line. Given (0, 4) and #m = 2#, we get:
#y - 4 = 2(x - 0)#
This immediately simplifies to:
#y - 4 = 2x#
Isolating #y# gives the equation of the line in slope-intercept form:
#y - 4 + 4 = 2x + 4#
#y = 2x + 4#
Since the question does not specify which form of a linear equation is required, it is customary to give the answer in slope-intercept form.

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