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Step2247 [10]
2 years ago
7

Find the equation of the line through point (1,−5) and perpendicular to y=1/8x+2. Use a forward slash (i.e. "/") for fractions (

e.g. 1/2 for 12).
Mathematics
1 answer:
Masteriza [31]2 years ago
7 0

Answer:

y = -8x + 3

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

y = mx + b

In which m is the slope and b is the y-intercept.

Perpendicular lines:

When two lines are perpendicular, the multiplication of their slopes is -1.

Perpendicular to y=1/8x+2

This line has slope \frac{1}{8}

So, for the line we want to find the equation, we have that:

\frac{m}{8} = -1

m = -8

So

y = -8x + b

Find the equation of the line through point (1,−5)

This means that when x = 1, y = -5. We use this to find b. So:

y = -8x + b

-5 = -8 + b

b = 3

The equation of the line is:

y = -8x + 3

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Write the equation of a line in point Slope form that passes through the points (-8,-3) and (2,2)
ella [17]

Answer:

The midpoint of the points (2,8) and (0,4) is given by:

(

2

x

1

+x

2

,

2

y

1

+y

2

)=(

2

2+0

,

2

8+4

)=(

2

2

,

2

12

)=(1,6)

We must must transform the standard form equation −3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.

−3x+6y=5 (Subtract 3x on both sides.)

6y=3x+5 (Divide both sides by 6.)

y=

6

3

x+

6

5

y=

2

1

x+

6

5

The slope of our first line is equal to

2

1

. Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is

x

1

.

The negative reciprocal of

2

1

is equal to −2, therefore, −2 is the slope of our line.

Since the equation of line passing through the midpoint (1,6), therefore, substitute the given point in the equation y=−2x+b:

6=(−2×1)+b

6=−2+b

b=6+2=8

Substitute this value for b in the equation y=−2x+b:

y=−2x+8

Hence, the equation of the line is y=−2x+8.

Step-by-step explanation:

make me as brain liest

4 0
3 years ago
What is 1 and 1/2 worth
koban [17]
1 is a whole and 1/2 is just a fraction

4 0
3 years ago
Show me quadrilaterals shapes
Volgvan
Anything with 4 sides is a quadrilateral like a rhombus square trapezoid and diamond
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AveGali [126]

Answer:

Yeah I would be too

Step-by-step explanation:

5 0
2 years ago
Divide. (334)÷(−212) Enter your answer as a mixed number, in simplified form, in the box.
Mandarinka [93]

Answer:

-1.575, or -1 575/1000, or -1 23/40

Step-by-step explanation:

Simplify the problem slightly by prefacing it with " - " as follows:

    334

- ----------- = -1.575  =  -1 23/40

     212

3 0
3 years ago
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