Question

Find the equation of the line using the slope fomula (-3,4) and (2,5)

Answer 1

see explanation

Explanation:

the equation of a line in slope- intercept form is

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

To calculate m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (2, 5)

m =
`(5-4)/(2+3)` =
`(1)/(5)`, hence

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

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

Using (2, 5), then

5 =
`(2)/(5)` + c ⇒ c = 5 -
`(2)/(5)` =
`(23)/(5)`

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