$\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-\text{slope}\\b-\text{y-intercept}\\\\\text{Let}\\\\k:y=m_1x+b_1\\l:y=m_2x+b_2\\\\k\ \perp\ l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2\\=========================$

$\text{We have}\ y=5x+2\to m_1=5\\\\\text{therefore}\ m_2=5.\\\\\text{Put the value of the slope and the coordinates of the given point (-2, 1)}\\\text{to the equation of a line:}\\\\1=5(-2)+b\\1=-10+b\qquad\text{add 10 to both sides}\\1+10=-10+10+b\\11=b\to b=11\\\\\text{Finally:}\\\\y=5x+11$

5 0

4 years ago

6 out of 24 employees at the water slides are temporary employees what percentage of the employees at the water slide are tempor

kykrilka [37]

Answer:

25%

Step-by-step explanation:

The question is:

6 is what percent of 24?

Set up the problem:

6 x

---- = -----

24 100

600 / 24 = 25%

Check your answer:

25% + 25% + 25% + 25% = 100%

6 + 6 + 6 + 6 = 24

3 0

3 years ago

Help please Which is the equation of a trend line that passes through the points (3, 95) and (11, 12)? Round values to the neare

Greeley [361]

Answer:

y = -10.375x + 126.125

Step-by-step explanation:

(12-95)/(11-3) = -83/8 = -10.375

y = mx + b

12 = -10.375(11) + b

12 = -114.125 + b

b = 126.125

y = -10.375x + 126.125

3 0

3 years ago

Read 2 more answers

-8n+4(1+5n)=-6n-14 show your work

dmitriy555 [2]

Answer:

n = -1

Step-by-step explanation:

-8n + 4 (1 + 5n) = -6n - 14

-8n + 4 + 20n = -6n - 14 Distribute

12n + 4 = -6n - 14 Combine Like Terms

18n + 4 = -14 Add 6 on Both Sides

18n = -18 Subtract 4 on Both Sides

n = -1 Divide Both Sides by 18

6 0

3 years ago