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3 years ago

Find the slope of the line. Can somebody please help me and/ or explain ?

Mathematics

1 answer:

Olegator [25]3 years ago

4 0

Answer:

4/-2

Step-by-step explanation:

Start at a point where the line intersects a firm coordinate like y=2 then use rise/run rise is vertical and run is horizontal count from the intersection up to where the line intersects another firm point in this case y=6 then count the run which lands on x=-2 y=6 which gives you the slope of 4/-2

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Write the equation in slope-intercept form of the line that passes through

mixer [17]

Answer:

We conclude that the equation in slope-intercept form of the line that passes through (12,9) and is perpendicular to the graph of y = -3/4x + 1 will be:

$y=\frac{4}{3}x-7$

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given the line

y = -3/4x + 1

comparing with the slope-intercept form of the line equation

The slope = m = -3/4

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -3/4

Thus, the slope of the new perpendicular line = – 1/(-3/4) = 4/3

Using the point-slope form

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of the slope = 4/3 and the point (12, 9)

$y-y_1=m\left(x-x_1\right)$

$y-9=\frac{4}{3}\left(x-12\right)$

Add 9 to both sides

$y-9+9=\frac{4}{3}\left(x-12\right)+9$

$y=\frac{4}{3}x-16+9$

$y=\frac{4}{3}x-7$

Therefore, we conclude that the equation in slope-intercept form of the line that passes through (12,9) and is perpendicular to the graph of y = -3/4x + 1 will be:

$y=\frac{4}{3}x-7$

7 0

3 years ago

X + 7y = 21 x + 4y = 15 Solve the simultaneous equations

Mariulka [41]

Answer:

x = 7, y = 2

Explanation:

equations given:

x + 7y = 21

x + 4y = 15

make "x" the subject:

x + 7y = 21

x = 21 - 7y .........equation 1

x + 4y = 15

x = 15 - 4y .......equation 2

Solving both the equations simultaneously:

15 - 4y = 21 - 7y

-4y + 7y = 21 - 15

3y = 6

y = 6 ÷ 3

y = 2

If y is 2

Then x = 21 -7y;

x = 21 - 7(2)

x = 21 - 14

x = 7

8 0

2 years ago

Read 2 more answers

Help me …… please ! I Just need help

frozen [14]

Answer:

(2,-2)

Step-by-step explanation:

y=-4x+6

y=3x-8

plug the y's in for each other to get:

-4x+6=3x-8 <----- solve from there

+8 +8

-4x+14=3x

+4x +4x

14=7x

/7 /7

x=2

now plug the x in to get y (in any problem)

y=3(2)-8

y=6-8

y=-2

(2,-2)

7 0

3 years ago

Name the three different types of proofs you saw in this lesson

KiRa [710]

Answer:

um idk but thanks for the points

8 0

3 years ago

True or false: y=35x is a linear equation.

adell [148]

Answer:

TRUE

Step-by-step explanation:

what is a linear equation?

It is said that a linear equation the equation which can be put in a form where there are variables, and there are coefficients, that are mainly and commonly 'actual numbers'

HOPE THIS HELPS!!

4 0

3 years ago