Answer:
1). y = -4/7x 2). y = 7/4x - 65/4
Step-by-step explanation:
1). When a line is parallel, the slope remains the same.
y = -4/7x + b
-4 = -4/7(7) + b
-4 = -4 + b
0 = b
The equation is simply y = -4/7x.
2). When a line is perpendicular, the slope becomes the exact opposite.
y = 7/4x + b
-4 = 7/4(7) + b
-4 = 49/4 + b
-65/4 = b
The equation is y = 7/4x - 65/4.
Multiplying -15 by 60 yields -900, so the amount of water in the pool changes by -900 gallons in one hour.
Answer:
The answer is B or 8
Step-by-step explanation:
Part 1) <span>Given the two points (-24,7) and (30,25) a. What is an equation passing through the points?
step 1
find the slope m
m=(y2-y1)/(x2-x1)----></span>m=(25-7)/(30+24)----> m=18/54----> m=1/3
step 2
wit m=1/3 and the point (30,25)
find the equation of the line
y-y1=m*(x-x1)-----> y-25=(1/3)*(x-30)--->y=(1/3)*x-10+25
y=(1/3)*x+15
the answer Part 1) isy=(1/3)*x+15Part 2) <span>Is (51, 33) also on the same line?
</span>if the point (51.33) is on the line
y=(1/3)*x+15then
for x=51 the value of y must be 33
for x=51
y=(1/3)*51+15----> y=17+15----> y=32
32 is not 33
so
<span>the point does not belong to the given line
</span>
the answer Part 2) isthe point does not belong to the given line
see the attached figure
Answer:
C)
Step-by-step explanation:
Every
is 6 times bigger than 