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3 years ago

Write the equation of a line that is perpendicular to -2/7x+9 that passes through the point (4, -6)

Mathematics

2 answers:

Anna11 [10]3 years ago

6 0

Answer:

7y + 2x + 34 = 0

Step-by-step explanation:

The gradient for perpendicular, m = -2/7

The formular equation, y - y1 = m(x - x1)

The equation of line through (4, -6) is:

y - (-6) = -2/7(x - 4)

y + 6 = -2x/7 + 8/7

7y + 42 + 2x - 8 = 0

7y + 2x + 34 = 0

LUCKY_DIMON [66]3 years ago

3 0

Answer:

the desired equation is y = (-7/2)x - 8

Step-by-step explanation:

Don't you mean y = -2/7x+9, or y = (2/7)x+9? Any line perpendicular to this line has a slope of -7/2, the negative reciprocal of (2/7).

Start with the slope-intercept formula:

y = mx + b. Substitute -6 for y, 4 for x and -7/2 for m. Then we have

-6 = (-7/2)(4) + b. This reduces to -6 = -14 + b, so that b must be -8.

Thus, the desired equation is y = (-7/2)x - 8

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aleksandr82 [10.1K]

Answer:

15.7

Step-by-step explanation:

Lets take a = 50.

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3 years ago

Rachna purchases a plant that is 6 inches tall. Every week the plant grows an additional 0.6 inches. Rachna draws a graph of the

aleksklad [387]

Answer:

0.6

Step-by-step explanation:

Slope is the change in y divided by change in x.

x is weeks

y is height

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3 years ago

Observe

slega [8]

Answer:

They both have the same y-intercept

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3 years ago

Elementary Algebra Skill

mr_godi [17]

The answer is a = $\frac{4}{-3}$

Step-by-step explanation:

1. Convert the mixed fraction to an improper fraction

To find the numerator, multiply the denominator by the whole number and add the numerator to it.

The denominator remains the same.

So, 2 $\frac{2}{3}$ will be $\frac{8}{3}$

2. Now the equation is,

$\frac{3}{2}$ a - $\frac{4}{3}$ a = $\frac{10}{3}$ + $\frac{8}{3}$ a

3. Take LCM on both sides.

For the left side, multiply the first fraction by $\frac{3}{3}$ and multiply the second fraction by $\frac{2}{2}$

$\frac{3*3}{2*3}$ a - $\frac{4*3}{3*3}$ a = $\frac{10+8a}{3}$

4. Solve by making a the subject

$\frac{9a-8a}{6}$ = $\frac{10+8a}{3}$

$\frac{a}{6}$ = $\frac{10+8a}{3}$

$\frac{3a}{6}$ =10+8a

$\frac{a}{2}$ = 10 + 8a

a = 2(10 + 8a)

a = 20 + 16a

a-16a = 20

-15a = 20

a = $\frac{20}{-15}$

a = $\frac{4}{-3}$

Therefore, the answer is a = $\frac{4}{-3}$

Keyword: Equations

Learn more about equations at

#LearnwithBrainly

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3 years ago

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Yuri [45]

Answer:

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