Question

B) Write an equation of the line passing through the point (3,-2) that is parallel to the line y = $\frac{2}{3} x - 1$

Answer 1

TO solve this problem, We might think "how can I use that parallel line to find my expression?". Well, if it is a parallel line it means our expression represents a line that has the same slope. That is the information we need from the parallel line and once the slope intercept for is y = mx - b where m represents the slope, it means our slope in

$y=\frac{2}{3}x-1$

is m = 2/3. Now we can look for our expression. So we use a point slope formula as bellow:

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

Where:

So, Now we can substitute the slope and the values of the point and solve as follows:

And above we can see circled in green our final answer, the expression we were looking for.