199k views
1 vote
Find the equation of a line passing through the points (3, -1) with the gradient M=2÷3​

User Tyhal
by
3.7k points

1 Answer

2 votes

Answer:

y =
(2)/(3) x - 3

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 (3, - 1) into the partial equation

- 1 = 2 + c ⇒ c = - 1 - 2 = - 3

y =
(2)/(3) x - 3 ← equation of line

User Dbosky
by
4.6k points