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

D

Step-by-step 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 = = =

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

y = x + 4 ← equation of line → D