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3 years ago

Find the y intercept

Mathematics

2 answers:

erica [24]3 years ago

7 0

Step-by-step explanation:

Slope of line ST = Slope of line PQ = -3.

y = -3x + c

When x = 3, y = -1

=> (-1) = -3(3) + c, c = 8

Therefore the equation of line ST is y = -3x + 8 and the y-intercept is 8.

avanturin [10]3 years ago

7 0

Step-by-step explanation:

Hey there!

The given equation of line PQ is :

y = -3x -12.

Comparing the equation with y = mx + c. We get;Slope (m1)= -3

We know the condition of parallel lines is slope of 1st line = slope of 2nd line. (i.e m1=m2).

Therefore, slope of PQ= slope of ST = -3.

Now, The point through which ST passes is (3,-1) and we found its slope as -3.

So, let's use one point formula.

$(y - y1) = m2(x - x1)$

$(y + 1) = - 3(x - 3)$

$y + 1 = - 3x + 9$

$y = - 3x + 8$

Comparing the equation with y = mx+c. We get y-intercept is "8".

Therefore, y-intercept is "8".

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jasenka [17]

Answer:

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Step-by-step explanation:

When we substitute with 3 and 2 shown below

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8 0

2 years ago

Read 2 more answers

How do you work out 9 + (-4) - 6 ? please make it detailed

vitfil [10]

9 + (-4) - 6

[open the bracket, +(-) = - ]
= 9 - 4 - 6

[Both operations required are -, work from left to right]
= 5 - 6
= - 1

6 0

4 years ago

What’s the probability of getting each card out of a deck?

VMariaS [17]

Answer:

a. 1/13

b. 1/52

c. 2/13

d. 1/2

e. 15/26

f. 17/52

g. 1/2

Step-by-step explanation:

a. In a deck of cards, there are 4 suits and each of them has a 7. Therefore, the probability of drawing a 7 is:

P(7) = 4/52 = 1/13

b. There is only one 6 of clubs, therefore, the probability of drawing a 6 of clubs is:

P(6 of clubs) = 1/52

c. There 4 fives (one for each suit) and 4 queens in a deck of cards. Therefore, the probability of drawing a five or a queen is:

P(5 or Q) = P(5) + P(Q)

= 4/52 + 4/52

= 1/13 + 1/13

P(5 or Q) = 2/13

d. There are 2 suits that are black. Each suit has 13 cards. Therefore, there are 26 black cards. The probability of drawing a black card is:

P(B) = 26/52 = 1/2

e. There are 2 suits that are red. Each suit has 13 cards. Therefore, there are 26 red cards. There are 4 jacks. Therefore:

P(R or J) = P(R) + P(J)

= 26/52 + 4/52

= 30/52

P(R or J) = 15/26

f. There are 13 cards in clubs suit and there are 4 aces, therefore:

P(C or A) = P(C) + P(A)

= 13/52 + 4/52

P(C or A) = 17/52

g. There are 13 cards in the diamonds suit and there are 13 in the spades suit, therefore:

P(D or S) = P(D) + P(S)

= 13/52 + 13/52

= 26/52

P(D or S) = 1/2

6 0

3 years ago

Piz help me fast asap thx

Effectus [21]

Answer:

y= 7703.5

Step-by-step explanation:

multiply 7100 by 1.085

5 0

3 years ago

Find the y intercept​

Find the y intercept