Q:

Which is the equation of a line that has the same slope as y=2x+3 and passes through the point (4,0)?A. y=2x-8B. y=2xC. y=2x+4D. y=4x+3

Accepted Solution

A:
Given y = 2x + 3
Slope = 2

--------------------------------------------
Option A :
--------------------------------------------
y = 2x - 8
Slope = 2

When x = 4, 
y = 2(4) - 8 = 0
Coordinate (4 , 0)

--------------------------------------------
Option B :
--------------------------------------------
y = 2x
Slope = 2

When x = 4, 
y = 2(4)  = 8
Coordinate (4, 8)

--------------------------------------------
Option C :
--------------------------------------------
y = 2x + 4
Slope = 2

When x = 4, 
y = 2(4) + 4 = 12
Coordinate = (4, 12)

--------------------------------------------
Option D :
--------------------------------------------
y = 4x + 3
Slope = 4

When x = 4, 
y = 4(4) + 3 = 19
Coordinate = (4, 19)

--------------------------------------------
Answer: Option A
--------------------------------------------