Question

Which is an equation of a line that passes through the points (2, 6) and (-2,4)?

Answer 1

Answer:

Equal the gradient of the given points & of some arbitrary point

Step-by-step explanation:

The gradient of the line = $\frac{6-4}{2-(-2)}=\frac{2}{4} =\frac{1}{2}$

Select some arbitrary point $p(x,y)$  on that line and rewrite the relationship for the gradient with either point (given) and then equal it to what we just calculated.

$\begin{aligned}\frac{y-6}{x-2} &= \frac{1}{2}\\y-6&= \frac{1}{2}(x-2)\\y&= \frac{1}{2}x+5\end{aligned}$