Question

What is the equation of the line in slope intercept form that passes through the points (4,8) and (-2,5)?

-O y = 2x + 1
0 y = 2x
Oy
□ y =
+4
x+6

Answer 1

fourth option

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 ) = (4, 8 ) and (x₂, y₂ ) = (- 2, 5 )

m =
`(5-8)/(-2-4)` =
`(-3)/(-6)` =
`(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 (4, 8 ) , then

8 = 2 + c ⇒ c = 8 - 2 = 6

y =
`(1)/(2)` x + 6 ← equation of line

Answer 2

The answer is y = 2x + 1 and y = 1/2x + 6