All categories

2 years ago

Write the slope-intercept form of the equation of the line described.

Mathematics

1 answer:

Svetach [21]2 years ago

5 0

Answer:

1) y = 2/3x - 2

2) y = -1/2x + 3

Step-by-step explanation:

1) Parallel lines have the same slopes. Write it in standard form (y = mx + c), then substitute the values of the coordinates into the equation.

y = 2/3x + c

0 = 2/3(3) + c

0 = 2 + c

0 - 2 = c

- 2 = c

Therefore, the slope-intercept form for the first part is y = 2/3x - 2.

2) Parallel lines have the same slopes. Write it in standard form (y = mx + c), then substitute the values of the coordinates into the equation.

y = -1/2x + c

1 = -1/2(4) + c

1 = -2 + c

1 + 2 = c

3 = c

Therefore, the slope-intercept form for the second part is y = -1/2x + 3.

You might be interested in

Simplifying rational expressions

Sonbull [250]

1. $\frac{(c + 8)(c - 8)}{(c - 8)(c + 3)}_,_$
   $\frac{c + 8}{c + 3}_,_$

2. $\frac{n^{2} + 4n - 12}{n^{2} + 2n - 8}_,_$
   $\frac{n^{2} + 6n - 2n - 12}{n^{2} + 4n - 2n - 8}_,_$
   $\frac{n(n) + n(6) - 2(n) - 2(6)}{n(n) + n(4) - 2(n) - 2(4)}_,_$
   $\frac{n(n + 6) - 2(n + 6)}{n(n + 4) - 2(n + 4)}_,_$
   $\frac{(n - 2)(n + 6)}{(n - 2)(n + 4)}_,_$
   $\frac{n + 6}{n + 4}_,_$

3. $\frac{42x^{2}y^{3}}{28x^{3}y}_,_$
   $\frac{3y^{2}}{2x}_,_$

4. $\frac{m^{2} - 3m - 10}{m - 5}_,_$
   $\frac{m^{2} - 5m + 2m - 10}{m - 5}_,_$
   $\frac{m(m) - m(5) + 2(m) - 2(5)}{m - 5}_,_$
   $\frac{m(m - 5) + 2(m - 5)}{m - 5}_,_$
   $\frac{(m + 2)(m - 5)}{m - 5}_,_$
   $m + 2_,_$

3 0

3 years ago

What is one half to the fifth power?

bagirrra123 [75]

16.181818911918626382829229228282882828282.6272882

3 0

3 years ago

In 2000, the circulation of a local newspaper was 3,250. In 2001, its circulation was 3,640. In 2002, the circulation was 4,100.

vodka [1.7K]

Percent increase from 2000 to 2001 is 12% and from 2001 to 2002 is 12.6%. Thus period of 2001 to 2002 has higher increase percentage.

Solution:

Given that,

Total circulation of local newspaper in 2000 = 3250

Total circulation of local newspaper in 2001 = 3640

Total circulation of local newspaper in 2002 = 4100

Finding percent of increase in the newspaper’s circulation from 2000 to 2001:

$\text { Percent increase from } 2000 \text { to } 2001=\frac{\text { change in circulation from 2001 - 2000 }}{\text { circulation in } 2000} \times 100$

$\begin{array}{l}{=\frac{3640-3250}{3250} \times 100} \\\\ {=\frac{390}{3250} \times 100=12 \%}\end{array}$

Finding percent of increase in the newspaper’s circulation from 2001 to 2002:

$\begin{array}{l}{\text { Percent increase from } 2001 \text { to } 2002=\frac{\text { change in circulation }}{\text {circulation in } 2001} \times 100} \\\\ {=\frac{4100-3640}{3640} \times 100} \\\\ {=\frac{460}{3640} \times 100=12.6 \%}\end{array}$

As we can see 12% < 12.6%

So period of 2001 to 2002 has higher increase percentage.

7 0

3 years ago

Here’s the other one, i just need two more that i will be posting, ty your and amazing person

Anuta_ua [19.1K]

Answer:

See below.

Step-by-step explanation:

X-intercepts: (-7, 0) & (-3, 0)

Axis of Symmetry: x = -5

Y-intercept: (0, -21)

Vertex: (-5, 4)

4 0

3 years ago

Please help! Brainliest to correct

vivado [14]

Answer:

Step-by-step explanation:

x +3 I x⁴ + 0x³ - 6x² + 0x -28 I x³ - 3x² + 3x - 9

x⁴ + 3x³

- -

-3x³ - 6x²

-3x³ - 9x²

+ +

3x² + 0x

3x² + 9x

- -

-9x -28

-9x - 27

+ +

-1

P(x) =(x +3)* (x³ - 3x² + 3x - 9) + (-1)

7 0

2 years ago