Question

Question 13

What's the equation of the line that passes through the points (4,4) and (0,–12)?
Question 13 options:

A)

y = –1∕4x – 12

B)

y = 1∕4x – 12

C)

y = 4x – 12

D)

y = –4x – 12

Answer 1

C

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, 4) and (x₂, y₂ ) = (0, - 12)

m =
`(-12-4)/(0=4)` =
`(-16)/(-4)` = 4

The line crosses the y- axis at (0, - 12 ) ⇒ c = - 12

y = 4x - 12 ← equation of line → C

Answer 2

The correct answer is y = 4x - 12