Question

Find the equation of the line shown.
please I need it soon as possible​

Answer 1

Y=2x+0.5

Explanation:

The gradient is 2/1=2x

The y-intercept looks to be around 0.5

Answer 2

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

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, 0) and (x₂, y₂ ) = (1, 1) ← 2 points on the line

m =
`(1-0)/(1-(-1))` =
`(1)/(1+1)` =
`(1)/(2)` , then

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

To find c substitute either of the 2 points into the partial equation

Using (1, 1 ) , then

1 =
`(1)/(2)` + c ⇒ c = 1 -
`(1)/(2)` =
`(1)/(2)`

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