Question

Write an equation in slope-intercept form of the line that passes through the

given points.
(-7,5) and (3,0)

Answer 1

y = -
`(1)/(2)` x +
`(3)/(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 ) = (- 7, 5 ) and (x₂, y₂ ) = (3, 0 )

m =
`(0-5)/(3-(-7))` =
`(-5)/(3+7)` =
`(-5)/(10)` = -
`(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 (3, 0 ) , then

0 = -
`(2)/(2)` + c ⇒ c =
`(3)/(2)`

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