Question

What is the equation of the line?

Use y = mx+b

Answer 1

`\text{Hello there!}\\\\\text{Find the slope of the line:}}\\\\\text{We are using the y= mx + b equation to answer the question}\\\\\text{We know that b is the`

`\text{Go down once and go to the right twice}\\\\\text{This makes your slope -1/2}\\\\\boxed{\text{Answer: -1/2 + 4}}`

Answer 2

y = -
`(1)/(2)` x + 4

Explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (4, 2) ← 2 points on the line

m =
`(2-3)/(4-2)` = -
`(1)/(2)`

Note the line crosses the y- axis at (0, 4) ⇒ c = 4

y = -
`(1)/(2)` x + 4 ← equation of line