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lys-0071 [83]
3 years ago
8

what is the slope intercept form of a line that is perpendicular to y = x + 3 and passes through point (2, -4)

Mathematics
1 answer:
Assoli18 [71]3 years ago
3 0

Answer:

The equation of the perpendicular line is y = -x - 2

Step-by-step explanation:

* Lets revise the form of the slope intercept for

- The slope intercept form is y = mx + b, where m is the slope of

  the line and b is the y-intercept

* Now lets revise the relation between the slopes of the

 perpendicular lines

- If two lines are perpendicular, then the product of their slopes is -1

# Ex: If line L has slope m1 and line K has slope m2, and L ⊥ K

∴ m1 × m2 = -1

∴ m2 = -1/m1

* Now lets solve the problem

- We need to find the equation of the line which is perpendicular to

 the line whose equation is y = x + 3 and passes through point (2 , -4)

- Find the slope of the given equation

∵ y = x + 3

- In this form the slope is the coefficient of x

∴ m = 1

- Find the slope of the perpendicular line

∵ The slope of the perpendicular line = -1/m

∴ The slope of it = -1/1 = -1

- Write the equation of the line with the value of the slope

∴ y = -x + b

- To find the value of b substitute x , y in the equation by the x and

  y of the given point

∵ The line passes through point (2 , -4)

∵ y = -x + b

∴ -4 = -1(2) + b

∴ -4 = -2 + b ⇒ add 2 for both sides

∴ b = -2

- Write the equation with the value of b

∴ y = -x - 2

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A store salesperson is paid 3% of his sales as a commission. He made sales of $2500. How much was his commission?​
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1) Write 3% as 3/100

2) Since, finding the fraction of a number is same as multiplying the fraction with the number, we have:

\frac{3}{100} of 2500 = \frac{3}{100} × 2500

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If you are using a calculator, simply enter 3÷100×2500 which will give you 75 as the answer.

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7 0
2 years ago
On a quiz, students were awarded a certain number of points for a correct answer and penalized a certain number of points for an
SVETLANKA909090 [29]
Given that the score of the student on the quiz was 25c - 10(15 - c)

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8 0
3 years ago
according to the fundamental theorem of algebra , how many zeros does the polynomial below have x^4 +5x^3+10x^2+20x+24
Vinil7 [7]

Answer:

4

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8 0
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pantera1 [17]

Answer:

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We are interested to find when both the movie will start again at the same time, this will be least common multiple of 90 and 115.

LCM of 90,115 = 2070

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2070mins = 34hours and 30 minutes

adding this with noon

10:30PM on the next day.

 

5 0
3 years ago
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