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:
Step-by-step explanation: a real one for the points
Answer:
7 miles
Step-by-step explanation:
Distance = Rate times Time
Distance #1: (15 mph)(12/60 hr) = 3 miles
Distance #2: (12 mph)(20/60 hr) = 4 miles
Total distance ridden = 7 miles
Answer:
y = 4
Step-by-step explanation:
An exponential function in standard form is
y = a 
Use ordered pairs from the table to find a and b
Using (0, 4), then
4 = a
( note that
= 1 ), so
a = 4, then
y = 4 
Using (1, 8)
8 = 4
= 4b ( divide both sides by 4 )
b = 2
y = 4
← represents the values in the table
Ok so we know that consecutive angles are supplementary and the diagonals bisect the angels so
2x-15+3x=90
5x=105
X=21