Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
- Parallel lines will always have the same slope but different y-intercepts.
<u>1) Determine the slope of the parallel line</u>
Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.
Switch the sides
Divide both sides by 2 to isolate y
Now that this equation is in slope-intercept form, we can easily identify that 
is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope . Plug this into :
<u>2) Determine the y-intercept</u>
Plug in the given point, (4,0)
Subtract both sides by 6
Therefore, -6 is the y-intercept of the line. Plug this into as b:
I hope this helps!
Answer:
3z-44
Step-by-step explanation:
All you have to do is to simplify the numbers. 2 + 6 - 52 = -44.
Answer:
If the population grows by 4% each year then
the population in any given year is 104% of
the previous year or 1.04 times as much
P(t) = P0(1.04)t
P(t) is population at time t years
P0 = initial population = 11,000
t = number of years = 15
P(15) = 11,000(1.04)15
P(15) = 19,810 people
Step-by-step explanation:
Answer:
infinite
Step-by-step explanation:
infinite
but solving for it we can get
3x + 8 = 3x + 8 (divided both sides by 2)
3x = 3x (subtracted 8)
x = x
1 = 1
therefore, for all values of x, the equation will be true so there are
infinite solutions
Answer:
y = 2x - 7
Step-by-step explanation:
The question is asking for slope-intercept form, y = mx + a.
Given:
(1, -5) and (9, 11)
Find the slope (m) between the two points:
m = (y2 - y1) / (x2 - x1)
x1 = 1
x2 = 9
y1 = -5
y2 = 11
m = ( 11 - (-5) )/(9 - 1)
= 16/8
m = 2
y = 2x + a
Use one of the two points to find a (I will use (1, -5)):
-5 = 2(1) + a
-5 = 2 + a
-7 = a
a = -7
y = 2x + (-7)
y = 2x - 7
