Question

Write the equation of the line that passes though (-3,5) and (2,10) in slope intercept form

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 )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 5) and (x₂, y₂ ) = (2, 10)

m =
`(10-5)/(2+3)` =
`(5)/(7)`, hence

y =
`(5)/(7)` x + c ← is the partial equation of the line

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

Using (2, 10), then

10 =
`(10)/(7)` + c ⇒ c = 10 -
`(10)/(7)` =
`(60)/(7)`

y =
`(5)/(7)` x +
`(60)/(7)` ← in slope- intercept form