Question

write a Lena near equation of the line passing through the points (-2,4)(4,16)

Answer 1

The given points are (-2, 4) and (4, 16).

First, we use the slope formula.

$m=\frac{y_2-y_1}{x_2-x_1}$

Let's replace the given points.

$m=\frac{16-4}{4-(-2)})\frac{12}{4+2}=\frac{12}{6}=2$

Once we have the slope, we use the point-slope formula to find the equation.

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

Let's replace the slope m = 2, and the point (-2,4).

$\begin{gathered} y-4=2(x-(-2)) \\ y-4=2x+4 \\ y=2x+4+4 \\ y=2x+8 \end{gathered}$

Hence, the equation is y = 2x + 8.