All categories

3 years ago

Through (-1,-1), slope of 4 what is the standard form equation of the line through the given point with a given slope

Mathematics

1 answer:

Vinvika [58]3 years ago

3 0

Answer:

The equation of the line is -4x + y = 3

Step-by-step explanation:

Since we have the slope, we can use it and either point in point-slope form and solve for the standard form of the equation.

y - y1 = m(x - x1)

y - -1 = 4(x - -1)

y + 1 = 4(x + 1)

y + 1 = 4x + 4

-4x + y + 1 = 4

-4x + y = 3

You might be interested in

Find the Mid point of (-5,-9) (-7,-4)

lyudmila [28]

Answer: ( -6 , -6.5 )

Step-by-step explanation:

The formula for calculating Mid - point is given by

M = ( $\frac{x_{1}+x_{2}}{2}$ , $\frac{y_{1}+y_{2}}{2}$ )

$x_{1}$ = -5

$x_{2}$ = -7

$y_{1}$ = -9

$y_{2}$ = -4

substituting into the formula , we have

M = $\frac{-5-7}{2}$ , $\frac{-9-4}{2}$

M = $\frac{-12}{2}$ , $\frac{-13}{2}$

Therefore : mid point = ( -6 , -6.5 )

8 0

3 years ago

There is a total of $39.55. There are 3 times as many dimes as nickels, how many of each coin type was collected ?

katovenus [111]

Number of dimes collected is 339 and number of nickels collected is 113

Solution:

Given that There is a total of $39.55

There are 3 times as many dimes as nickels

To find: Number of dimes and nickels collected

Let "d" be the number of dimes collected

Let "n" be the number of nickels collected

We know that,

1 dime = $ 0.10

1 nickel = $ 0.05

From given information,

There are 3 times as many dimes as nickels

So, we get

Number of dimes = 3(number of nickels)

d = 3n

Given that there is total of $ 39.55

number of dimes collected x value of 1 dime + number of nickels collected x value of 1 nickel = $ 39.55

$3n \times 0.10 + n \times 0.05 = 39.55\\\\0.3n + 0.05n = 39.55\\\\0.35n = 39.55\\\\n = \frac{39.55}{0.35}\\\\n = 113$

Substitute n = 113 in d = 3n

$d = 3(113) = 339$

Summarizing the results:

number of dimes collected = 339

number of nickels collected = 113

4 0

3 years ago

What does math anxiety mean?

inn [45]

Anxiety would mean if you're worrying about something or fearing something. So math anxiety would be feeling worried or scared about your ability to do math.

7 0

3 years ago

The height of the water in a tank decreases 3 inches each week due to evaporation and every two weeks a man adds 5 inches of wat

atroni [7]

75

Reduction of 12
3 x 4 = 12

Increase of 10
5 x 2 = 10

75 - 12 = 63
63 + 10 = 73

Change = 2 inches (75 - 73)

7 0

2 years ago

Read 2 more answers

Show the work for answer, if the area of a pizza is 153.94 square inches, find the length of its diameter

TEA [102]

Answer:

14 inch

Step-by-step explanation:

A = πr^2

153.94 = π * r^2

153.94/π = 49.001 = r^2

√49.001 = r = 7

radius * 2 = diameter

7 * 2 = 14 inch diameter

7 0

3 years ago