Question

Passes through the points (−4, 2) and (12, 6)?

Answer 1

I'll assume you need to find the equation of the line that passes through those points.

Answer:

`\displaystyle y-2=(1)/(4)(x+4)`

Explanation:

Equation of a Line:

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

`\displaystyle y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

The given points are (-4,2) and (12,6), thus:

`\displaystyle y-2=(6-2)/(12+4)(x+4)`

Operating:

`\displaystyle y-2=(4)/(16)(x+4)`

Simplifying, the equation in point-slope form is:

`\mathbf{\displaystyle y-2=(1)/(4)(x+4)}`