Question

What is 3 4 and 5 -2 in slope intercept form

Answer 1

y = - 3x + 13

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

m =
`(-2-4)/(5-3)` =
`(-6)/(2)` = - 3 , then

y = - 3x + c ← is the partial equation

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

using (3, 4 )

4 = - 9 + c ⇒ c = 4 + 9 = 13

y = - 3x + 13 ← equation of line