Question

What is the equation of the line that passes through the point (6, 4) and has a slope
of -2/3?​

Answer 1

y = -
`(2)/(3)` x + 8

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 = -
`(2)/(3)`, thus

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

To find c substitute (6, 4) into the partial equation

4 = - 4 + c ⇒ c = 4 + 4 = 8

y = -
`(2)/(3)` x + 8 ← equation of line