Question

Write the equation of the line shown

Answer 1

The straight line equation is :

`\boxed {y = mx + c}`

Here, c = 1 as it intersects (0, 1) on the y-axis.

The slope is :

• m = 1 ÷ 2
• m = 0.5

Hence, the equation will be :

y = 0.5x + 1

I hope it helped you solve the problem.

Good luck in your studies!

Answer 2

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

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

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

the line crosses the y- axis at (0, 1 ) ⇒ c = 1

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