Answer:
y = 2x - 12
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 )
Rearrange 3 + 4x = 2y - 9 into this form
add 9 to both sides
12 + 4x = 2y ( divide all terms by 2 )
6 + 2x = y ← in slope- intercept form
with slope m = 2
• Parallel lines have equal slopes, hence
y = 2x + c ← is the partial equation of the parallel line
To find c substitute (4, - 4) into the partial equation
- 4 =8 + c ⇒ c = - 4 - 8 = - 12
y = 2x - 12 ← equation of parallel line
Multiply you first equation by 2 to get 4x + 10y = 22
Now the x terms can be eliminated and cancelled out using elimination.
4x + 10y = 22
4x + 3y = 1
To eliminate you need to "subtract", so you need to multiply one of the equations by -1.
4x + 10y = 22
-4x -3y = -1
------------------
0 + 7y = 21
y = 3
Now plug 3 into either one of the equations to get x.
The number line would have an open circle that would be on 5 and the line would go right. the number line should count up.
