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=(y_2-y_1)/(x_2-x_1)`

Let's replace the given points.

`m=(16-4)/(4-(-2)))(12)/(4+2)=(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.