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3 years ago

The equation y minus 3 = negative 2 (x + 5) is written in point-slope form. What is the y-intercept of the line?

Mathematics

2 answers:

lubasha [3.4K]3 years ago

8 0

Answer:

-7

Step-by-step explanation:

y-3=-2(x+5)

So we need to put this in slope-intercept form...

y - 3 = -2x -10 (You use the distributive property)

Then shift the -3 over to meet the other constant -10 by addition.

y - 3 = -2x -10

+3 + 3

y = -2x -7 since y = mx + b is in slope intercept form m = slope and b = y intercept, therefore the y intercept is -7

Hope This Helps!

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fiasKO [112]3 years ago

4 0

Answer:

-7

Step-by-step explanation:

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Let line A be the graph of 5x + 8y = -9. Line B is perpendicular to line A and passes through the point (10,10). If line B is th

frozen [14]

Find slope of line A:
Move into slope-intercept form y = mx+b

5x + 8y = -9
8y = -5x - 9
y = (-5/8)x - 9/8

The slope of line A is -5/8.

If Line B is perpendicular to line A, then

slope Line B = negative reciprocal of slope Line A
slope Line B = 8/5

So like B has the equation

y = (8/5)x + b

If it passes through (10,10), we know that when x = 10, y = 10. Use those values to solve for b:

y = (8/5)x + b
10 = (8/5)·10 + b
10 = (8)·2 + b
10 = 16 + b
b = -6

So line B has equation 
y = (8/5)x - 6

m = 8/5 and b = -6

so

m + b = 8/5 - 6 = 8/5 - 30/5 = -22/5

So m+b = -22/5 or -4.4 in decimal form

6 0

3 years ago

Which of the following lists is in order from smallest to largest? 1.4, 1/4 ,14% 1/4 , 14%, 1.4 14%, 1/4 , 1.4 1.4, 14%, 1/4

777dan777 [17]

Firstly, I noticed that there are fractions, decimals, and percents. I will change everything to percents, so it’s more easy for me to compare each of them.

List 1. 140%, 25%, 14%. This is from greatest to least, not least to greatest.
List 2. 25%, 14%, 14%. This is not from least to greatest, either.
List 3. 14%, 25%, 140%. This is from least to greatest.
List 4. 140%, 14%, 25%. This is not from least to greatest.

List 3 is from least to greatest. I got this answer by converting all of the fractions and decimals to percentages.

5 0

2 years ago

The coordinates of the endpoints of directed line sergeant ABC are A(-8,7) and C(7,-13). If AB:BC = 3:2 then the coordinates of

cestrela7 [59]

The correct answer is A) (1,-5)

Further explanation:

Given points are:

A(-8,7)=(x1,y1)

C(7,13)=(x2,y2)

IT is also given that

AB:BC=3:2

Which means that B divides the line segment in 3:2

Here,

m=3

n=2

To find the coordinates of B

$x_B=\frac{mx_2+nx_1}{m+n}\\ = \frac{(3)(7)+(2)(-8)}{3+2}\\=\frac{21-16}{5}\\=\frac{5}{5}\\=1\\y_B=\frac{my_2+ny_1}{m+n}\\=\frac{(3)(-13)+(2)(7)}{3+2}\\=\frac{-39+14}{5}\\=\frac{-25}{5}\\=-5$

The coordinates of point B are (1,-5)

The correct answer is A) (1,-5)

Keywords: Coordinate geometry, mid-point

Learn more about coordinate geometry at:

#learnwithBrainly

7 0

3 years ago

ALGEBRA 2!!!!!!!HELP

Inessa [10]

Answer:

x = - 1, x = - 11

Step-by-step explanation:

Given

2| x + 6 | - 4 = 6 ( add 4 to both sides )

2|x + 6 | = 10 ( divide both sides by 2 )

| x + 6 | = 5

The absolute value function always gives a positive result, but the expression inside can be positive or negative, that is

x + 6 = 5 or - (x + 6) = 5

solve both

x + 6 = 5 ( subtract 6 from both sides )

x = - 1

- (x + 6) = 5 , that is

- x - 6 = 5 ( add 6 to both sides )

- x = 11 ( multiply both sides by - 1 )

x = - 11

8 0

2 years ago

NEED HELP WILL GIVE BRAINLEST

Elanso [62]

Answer:

The answer is 2

Step-by-step explanation:

3/4÷ 3/8 =

3 × 8 * 4 × 3 =

24/12 =

24 ÷ 12

12 ÷ 12 = 2

6 0

2 years ago