How do you write an equation of a line given Point: (7, 4); Slope: 6?

1 Answer
May 16, 2015

keep the formula of a straight line in mind.
#Y = mX + c#
in this question you are given #m# which is your "slope" or also known as gradient.
so #m = 6#

then you are given a point, which we can insert into the equation for the straight line, and then solve for #c#
the point given is #(7,4)# which means #X=7# and #Y=4#
putting that into our formula, we get.

#4 = 6(7) + c#

now solve for #c#

#4 = 42 + c#
#-38 = c#

thus we get #c = -38#

bring our values for #m# and #c# into our formula and we end up with the equation of.

#Y = 6X - 38#

graph{6x - 38 [-2.96, 17.04, -1.33, 8.67]}