Question

Answer if you have time!

What is the equation of this line?
y=1/2 x − 3
y=−1/2 x − 3
y=−2x − 3
y=2x − 3

Answer 1

y =
`(1)/(2)` 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 )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line

m =
`(-2+3)/(2-0)` =
`(1)/(2)`

The line crosses the y- axis at (0, - 3) ⇒ c = - 3

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