Question

What is the equation of this line?

A: y= 4/3x-5
B: y= 3/4x-5
C: y= -4/3x-5
D: y= 4/3x+5

Answer 1

A

Explanation:

the equation of a line in slope- intercept form is

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

calculate slope m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

let (x₁, y₁ ) = (3, - 1) and (x₂, y₂ ) = (6, 3) ← 2 points on the line

substitute these values into the formula for m

m =
`(3-(-1))/(6-3)` =
`(3+1)/(3)` =
`(4)/(3)`

the line crosses the y- axis at (0, - 5 ) , then c = - 5

y =
`(4)/(3)` x - 5 ← equation of line