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3 years ago

Find the slope and y-intercept of the line 18x+4y=112

Mathematics

2 answers:

FromTheMoon [43]3 years ago

7 0

Answer:

y-intercept is y= -4.5+28 slope is 4.5

Step-by-step explanation:

18x+4y=112

-18x -18x

4y=112-18x

-----------------

y= -4.5x+28

oksian1 [2.3K]3 years ago

4 0

Answer: The slope is m=-9/2, and the y-intercept form

Step-by-step explanation:

Rewrite in Slope-intercept form: y=mx+b

Subtract 18x from both sides of the equation.

4y = 112-18x

divide each term by 4 and simplify.

y= 28 - 9x/2

Reorder 28 and -9x/2.

y=-9x/2 +28

Find the values of m and b using the form y=mx+b.

Slope: -9/2

Y-intercept: 28

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2 years ago

Rewrite the equation in Ax+By=C form

Ksju [112]

Ax + By = C form of the given equation is –6x + y = –28.

Solution:

Given equation is y – 2 = 6(x – 5).

To write the equation in Ax + By = C format:

y – 2 = 6(x – 5)

y – 2 = 6x – 30

Add 2 on both sides of the equation.

y – 2 + 2 = 6x – 30 + 2

y = 6x – 28

Subtract 6x from both sides of the equation.

y – 6x = 6x – 28 – 6x

y – 6x = –28

Arrange the terms in the equation.

–6x + y = –28

This is in the form of Ax + By = C.

Here A = –6, B = 1 and C = –28.

3 0

3 years ago

CD contains the points C at 4, D at 0, and E at 2.

horsena [70]

Answer:

the length of CD is 4

the length of DE is 2

the ratio of CD to DE is 2:1

Step-by-step explanation:

8 0

3 years ago

Quadrilateral ABCD has vertices A(1,0) B(5,0) C (7,2) D(3,2). Use slope to prove that ABCD is a parallelogram.

Galina-37 [17]

Answer:

$AD \parallel BC$

$AB \parallel CD$

Step-by-step explanation:

The vertices of quadrilateral ABCD are A(1,0) B(5,0) C (7,2) D(3,2).

The slope of side AB is

$M_{AB}=\frac{0-0}{5-1} =\frac{0}{4}=0$

The slope of side BC is

$M_{BC}=\frac{2-0}{7-5} =\frac{2}{2}=1$

The slope of side CD is

$M_{CD}=\frac{2-2}{3-7} =\frac{0}{-4}=0$

The slope of AD is

$M_{AD}=\frac{2-0}{3-1} =\frac{2}{2}=1$

$AD \parallel BC$

$AB \parallel CD$

We see that the opposite sides of the quadrilateral ABCD are equal.

Hence the quadrilateral is a parallelogram

4 0

3 years ago

The expression (7-4i)-(3-12i) simplified is

Marizza181 [45]

Answer:

8i + 4

Step-by-step explanation:

Add/subtract like terms:

7 - 3

= 4

-4i - (-12i)

-4i + 12i

= 8i

Add these together:

8i + 4

So, the simplified expression is 8i + 4

4 0

3 years ago