Question

Write a linear equation that goes through the points (0,4) and (4,10).

A. y =2⁄3x – 4
B. y =2⁄3x + 4
C. y =3⁄2x – 4
D. y =3⁄2x + 4

Answer 1

D

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 ) = (0 , 4) and (x₂, y₂ ) = (4, 10)

m =
`(10-4)/(4-0)` =
`(6)/(4)` =
`(3)/(2)`

note the line passes through (0, 4) ⇒ c = 4

y =
`(3)/(2)` x + 4 ← equation of line → D