The general equation of a line is given as:
y = mx + c where
m = slope
c = intercept on y axis.
We are given a point (x,y) so we use the relation below to develop the equation.
[tex]\begin{gathered} \frac{y-y_1}{x-x_1}=slope \\ \text{where:} \\ y_1=\text{ 4} \\ x_1=7 \end{gathered}[/tex][tex]\frac{y-4}{x-7}=2[/tex]
Crossmultiplying, we have:
2x - 14 = y - 4
Adding 4 to both sides,
y = 2x - 14 + 4
y = 2x - 10
