Question

A line passes through point. (6, -8) and has a slope of -3/2

Write an equation in Ax+By=C form for this line.

Answer 1

3x + 2y = 2

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = -
`(3)/(2)` , then

y = -
`(3)/(2)` x + c ← is the partial equation

To find c substitute (6, - 8 ) into the partial equation

- 8 = - 9 + c ⇒ c = - 8 + 9 = 1

y = -
`(3)/(2)` x + 1 ( multiply through by 2 to clear the fraction )

2y = - 3x + 2 ( add 3x to both sides )

3x + 2y = 2 ← in standard form