1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sergeu [11.5K]
3 years ago
7

Write the line equation for the line passing through the points (8, 3) and (12, -1).

Mathematics
1 answer:
Aneli [31]3 years ago
4 0

Answer:

Line equation is y=-x+11

The product of the slope and the y-intercept is -11

Step-by-step explanation:

Use the slope formula to find the slope of the equation.

yvalue2 minus yvalue1 /xvalue 2 minus xvalue1

-1-3/12-8=-1

The slope is -1.

Now, use the slope-intercept formula to find the y-intercept

y-3=-1(x-8)

y-3=-x+8

y=11

The equation is y=-x+11

The product of the slope and the y-intercept is -1(11)=-11

Hope this helps.

You might be interested in
Math 8 Review:Question 9
forsale [732]

Answer:

$5 per hour

Step-by-step explanation:

Just divide the amount that he earns by the price.

25/5=5

50/10=5

Brett is making $5 an hour.

5 0
3 years ago
Students in Mr. Clark's class are reading a book that has 180 pages.
Aleonysh [2.5K]

Answer:

Step-by-step explanation:

12 pages I think

4 0
3 years ago
Read 2 more answers
A company lost $1.2 million in its first year, lost $0.9 million in the second year, and lost
EleoNora [17]

Answer:

1.2 million

Hope it helps!

7 0
2 years ago
Jimmy threw a baseball in the air from the roof of his house. The path followed by the baseball can be modeled by the function f
erastovalidia [21]

Answer:

Step-by-step explanation:

The first part of A is easy. Look at the quadratic function, and the constant, the very last number with no t stuck to it represents the height from which the object in question was originally launched. Our constant is 40, so the height of the roof from which the baseball was thrown is 40 feet. Part 2 of A is not quite as simple because it requires factoring using the quadratic formula.Before we do that, let's make our numbers a bit more manageable, shall we? Let's factor out a -8 to get

f(t) = -(t^2-6t-5) and a = 1, b = -6, c = -5.

Filling in the quadratic formula now looks like this:

t=\frac{6+-\sqrt{6^2-4(1)(-5)} }{2(1)} and

t=\frac{6+-\sqrt{36+40} }{2} and

t=\frac{6+-\sqrt{56} }{2} so the 2 solutions are

t=\frac{6+\sqrt{56} }{2}=6.74sec and

t=\frac{6-\sqrt{56} }{2}=-.742sec and since we know time can NEVER be negative, the time it takes for the baseball to hit the ground from a height of 40 feet is 6.74 seconds. Onto part B.

In order to determine exactly how high the baseball did go, we have to find the vertex of the function. We do this by completing the square and getting the function into vertex, or work, form. Begin by setting the quadratic equal to 0, moving over the constant, and then factoring out the leading coefficient. The rule for completing the square are kinda picky in that you have to have a 1 as the leading coefficient, and righ now ours is a -8. So following the rules I stated above:

-8(t^2-6t)=-40 Next is the take half the linear term, square it, and then add it to both sides. Our linear term is a -6. Half of -6 is -3, and -3 squared is 9, so we add 9 into the parenthesis first:

-8(t^2-6t+9)=-40+??

Because this is an equation, we can't add 9 to one side without adding the equivalent to the other side. But, we cannot forget about that -8 sitting out front there, refusing to be ignored. We didn't just add in a 9, we actually added in a -8 times 9 which is -72. That's what goes on the right side in place of the ??.

-8(t^2-6t+9)=-40-72

The reason we complete the square is found on the left side of the equals sign. We have, in the process of completing the square, formed a perfect square binomial that will serve as the h in our vertex (h, k) where h is the number of seconds it takes for the baseball to reach its max height of k, whatever k is. That's what we have to find out. Putting the left side into its simplified perfect square binomial and adding the numbers on the right gives us:

-8(t-3)^2=-112

For the last step, add over the -112 and set it back equal to f(t):

-8(t-3)^2+112=f(t) From that we determine that the vertex is (3, 112). The max height of this baseball was 112 feet...so no, it did not make it up to the height of 120 feet that Jimmy wanted for the baseball.

6 0
2 years ago
PLEASE DRAW A GRAPH WITH THIS USING THE Exponential Functions HURRY
AleksAgata [21]

Answer:

bd=cc=oc2

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • In 2002, the temperature on the first day of summer was 79°F. This is 4°F less than it was on the first day of summer the previo
    9·1 answer
  • What is the solution to the system -2x + y = 6 and y= 2x - 3?
    9·1 answer
  • The graph y=ln(x) is translated 7 units to the left and 4 units upward. The transformed equation is ____.
    12·1 answer
  • Which equation could be used to solve problems involving the relationships between the angles?
    7·1 answer
  • 8^0 is greater than 8^1 true or false
    14·1 answer
  • 1. Choose the correct symbol to compare. 8/10<br> 3/4<br> &lt;<br> &gt;<br> =
    7·2 answers
  • Help! What’s the answer.. It’s a Khan Academy Problem
    11·1 answer
  • Ken and Tami are making necklaces. Ken makes 25 necklaces. Tami makes m more necklaces than ken. Which expression represents the
    5·1 answer
  • PLEASE I NEED DESPERATE HELP
    14·1 answer
  • Which statement describes the effect on the parabola y = x2 - 1 when it is changed to y = x2 +6?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!