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Lemur [1.5K]
3 years ago
12

What is the equation of the line that passes through

Mathematics
1 answer:
irinina [24]3 years ago
7 0
Solve equation for y.

5x - y = 3

-y = -5x + 3

y = (-5x + 3)/(-1)

y = 5x - 3

The slope for this equation is 5.

The slope of the equation we want is the negative reciprocal of 5.

Let m = slope of equation we want.

m = -1/5

We are given the point (10,4).

Plug both into the point-slope formula.

y - 4 = (-1/5)(x - 10)

y - 4 = (-1/5)x + 2

y = (-1/5)x + 2 + 4

The equation we want is

y = (-1/5)x + 6

Did you follow?
You might be interested in
1
laiz [17]
It is a function because they are.
3 0
3 years ago
What is 2 1/6 * 1 1/4 equal too
timofeeve [1]
Hmmm idk if you want fractions but, 65/24 or 2 17/24 I think
6 0
3 years ago
What is an equation of the line that passes through the point (-6,7) and is perpendicular to the line
Temka [501]

The equation of line perpendicular to given line through (-6,7) is:

y=\frac{1}{6}x+8

Further explanation:

Given equation of line is:

6x+y=3\\y= -6x+3

The co-efficient of x is the slope of given line.

Let m1 be the slope of given line

and

m2 be the slope of line perpendicular to given line

Then

m_1=-6

Product of slopes of perpendicular lines is -1

m_1*m_2 = -1\\-6*m_2=-1\\m_2=\frac{-1}{-6}\\m_2=\frac{1}6}

The equation of new line can be written as:

y=m_2x+b\\

Putting m2

y=\frac{1}{6}x+b

To find the value of b, we will put (-6,7) in equation

7=\frac{1}{6}(-6)+b\\7=-1+b\\b=7+1\\b=8

Putting the values of b and m in general equation

y=\frac{1}{6}x+8

Keywords: Slope, Point-slope form, perpendicular lines

Learn more about perpendicular lines at:

  • brainly.com/question/12941985
  • brainly.com/question/4152194

#LearnwithBrainly

5 0
3 years ago
15) g(n) = 2n + 5 f(n) = -4n-1 Find g(f(n))​
Lisa [10]

Answer:

g[f(n)] = -8n+3

Step-by-step explanation:

Given,

g(n) = 2n + 5 , f(n) = -4n-1

Find g(f(n)),

Solutions,

g[f(n)] = g[-4n-1]

= 2(-4n-1) + 5

= -8n–2+5

g[f(n)] = -8n+3

Final Answer = g[f(n)] = -8n+3.

6 0
3 years ago
Please answer or comment if your good at math and willing to help please
olganol [36]

Answer: Indeed i am

Hope This helps :)

7 0
2 years ago
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