Question

Graph the line with slope -2/3 passing through the point (3,4)

Answer 1

We will have the following:

We will replace the values in the general equation of a line, that is:

$y-y_1=m(x-x_1)$

So:

$\begin{gathered} y-4=-\frac{2}{3}(x-3)\Rightarrow y-4=-\frac{2}{3}x+2 \\ \\ \Rightarrow y=-\frac{2}{3}x+6 \end{gathered}$

Now, from this we can see that when x = 0, y = 6, so we can plot the line, that is: