9514 1404 393
Answer:
D. Henry's started farther, went faster
Step-by-step explanation:
Henry's balloon traveled 18 additional miles (from 30 to 48) in 2 hours, so had a speed of 18mi/(2h) = 9 mi/h. The equation for his position could be ...
y = 9x +30 . . . . . 9 is the rate of change; 30 is the initial value
__
Comparing this to Tasha's position function, we see her balloon started 20 miles from town and traveled 8 miles per hour.
__
Henry started farther from town and traveled faster.
A)
The slope-intercept form:

m - slope
b - y-intercept
The formula of a slope:

We have the points (2, 5.1) and (-1, -0.5). Substitute:

Therefore we have:

Put the coordinates of the point (-1, -0.5) ot the equation:

<em>multiply both sides by 2</em>
<em>add
to both sides</em>
<em>divide both sides by 2</em>

Answer: 
-------------------------------------------------------------------------
B)
We have the points (-2, 3) and (3, -4).
Calculate the slope:

Therefore we have:

Put the coordinates of the point (-2, 3) to the equation of a line:

<em>subtract
from both sides</em>

Answer: 
Answer:
D is the answer 3x yards in terms of x
By substitution is how to solve
2x-3y=21
y=3-x
2x-3(3-x)=21
2x-9+3x=21
5x=30
x= 6
now substitute our x value into y=3-x
so we get
y=3-6 = -3
so x=6 and y=-3 hope this helps!!!!! Thank you!