Choose the correct answer. 1. What is the equation of a line that passes
through the origin and intersects (4, 6)?
A. y = -3/2x
B. y = -2/3x
C. y = 2/3x
D. y = 3/2x

The equation of the line is y = x ⇒ D

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

The rule of the slope is m = , where

∵ The line passes through the origin (0, 0) and point (4, 6)

∴ x1 = 0 and y1 = 0

∴ x2 = 4 and y2 = 6

→ Substitute them in the rule of the slope above to find it

∵ m =

∴ m =

→ Substitute it in the form of the equation above

∴ y = x + b

∵ The line passes through the origin

∴ The y-intercept = 0

∴ b = 0

→ Substitute it in the equation

∵ y = x + 0

∴  y = x

∴ The equation of the line is y = x

what level of math? also i don't need to be paid if i can you.