Question

Find the equation in standard form of the line passing through the points (2,-3) and (4,2)

Answer 1

5x - 2y = 16

Explanation:

Slope = 5/2

b = -8

Slope-intercept form: y = 5/2x -8

Standard: 5x - 2y = 16

Answer 2

The equation of the line passing through the points
`(x_1,y_1)` and
`(x_2,y_2)` is

`(x-x_1)/(y-y_1) =(x_2-x_1)/(y_2-y_1)`. Here
`(y_1-y_1)/(x_2-x_1)` is the slope of the line.

Substituting numerical values,

`image`

The equation of the line in standard form is
`5x-2y-16=0`.