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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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Darya [45]

Answer:

–1 < x < 4

Step-by-step explanation:

Let's solve your inequality step-by-step.

−6<2x−4<4

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6 0

3 years ago

A partir del término general, calcular los 4 primerostérminos. (Considere que debe asignar

Scorpion4ik [409]

Answer:

$4,7,12,19,...$

Step-by-step explanation:

The question in English is:

From the general term, calculate the first 4 terms.

(Consider that you must assign values to the variable n)

we have

$b_n=n^2+3$

step 1

Calculate the first term

For n=1

$b_1=(1)^2+3=4$

step 2

Calculate the second term

For n=2

$b_2=(2)^2+3=7$

step 3

Calculate the third term

For n=3

$b_3=(3)^2+3=12$

step 4

Calculate the fourth term

For n=4

$b_4=(4)^2+3=19$

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4 0

3 years ago

Help due in 45 minutes!!

Nat2105 [25]

Answer:

(14,-1)

Step-by-step explanation:

okay so first you need to use the "x=4y+10" in the first equation.

Rewrite as

3(4y+10) +11y=7

Distribute the 3(4y+10)

Rewrite as

12y+30

You'll have the equation

12y +30 +11y= 7

Subtract the 7 from both sides

12y+30+11y-7= 0

Combine like terms

23y+23=0

the best thing to do here is divide the equation by 23.

23/23 = 1

you'll have

y + 1 = 0

this simplifies to

y= -1

use this y value to solve for x

the easiest way to do this is start with the equation

x = 4y +10

Substitute the y for -1

x = -4(-1) +10

x = 4 +10

x = 14

the solution point is

(14,-1)

3 0

3 years ago

Find the y intercept​

Find the y intercept