Question

Write an equation of the line passing through the points (3,2) and (-2,- 18).

Answer 1

To answer this question, we can use the two-point form of the line equation:

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

Then, we have the points:

(3, 2) --->x1 = 3, y1 = 2

(-2, -18)---> x2 =-2, y2 = -18

Then, we have:

`y-2=(-18-2)/(-2-3)\cdot(x-3)\Rightarrow y-2=(-20)/(-5)\cdot(x-3)\Rightarrow y-2=4(x-3)`

The question in the slope-intercept form is:

`y=4x-10`