Question

(-2,3)(0,8) what is en equation for these points

Answer 1

The line equation that passes through the given points is 5x – 2y + 16 = 0

Step-by-step explanation:

Given:

Two points are A(-2, 3) and B(0, 8).

To find:

The line equation that passes through the given two points.

Solution:

We know that, general equation of a line passing through two points (x1, y1), (x2, y2) is given by

`((y- y1))/((x-x_1))= (((y_2- y_1))/((x_2- x_1 ))`

`{(y- y1)= (((y_2- y_1))/((x_2- x_1 ))*(x-x_1)`.............(1)

here, in our problem x1 = 0, y1 = 8, x2 = -2 and y2 = 3.

Now substitute the values in (1)

`y-8 = ((3-8))/((- 2 - 0))*(x- 0)`

`y-8 = ((- 5))/((-2))*(x)`

`y-8 =(5)/(2)x`

2y – 16 = 5x

5x – 2y + 16 = 0

Hence, the line equation that passes through the given points is 5x – 2y + 16 = 0.