Question

What is the equation of this line?
y=4 x+6
y=6 x+4
y=12 x+2
v=4 x-6

Answer 1

y = 4x - 6

Explanation:

the equation of a line in slope- intercept form is

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

calculate m using the slope formula

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

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

m =
`(2-(-2))/(2-1)` =
`(2+2)/(1)` =
`(4)/(1)` = 4

the line crosses the y- axis at (0, - 6 ) ⇒ c = - 6

y = 4x - 6 ← equation of line