Question

What equation of the line, in point-slope form, that passes through the given point and has the given slope? Point: (5,6); slope: 2/5

Answer 1

From the question, we're asked to find the equation of the line in point slope form given the point (5,6) and the slope to be 2/5;

We know that the equation of a line in point slope form is as stated below;

$\begin{gathered} y-y_1=m(x-x_1) \\ \text{where m is the slope} \end{gathered}$

Let's go ahead and substitute the given values m=2/5, y1=6 and x1=5 into the above equation;

$y-6=\frac{2}{5}(x-5)$

So the above is the required equation of the line in point slope form.