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

May 16, 2015

keep the formula of a straight line in mind.
$Y = m X + c$
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 $\left(7 , 4\right)$ which means $X = 7$ and $Y = 4$
putting that into our formula, we get.

$4 = 6 \left(7\right) + c$

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.

$Y = 6 X - 38$

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