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3 years ago

How do you find the point-slope formula for this problem? (-1,7); m= -4

Mathematics

1 answer:

Nadya [2.5K]3 years ago

7 0

Answer:

y-7 = -4(x+1)

Step-by-step explanation:

The point slope formula is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y-7 = -4(x--1)

y-7 = -4(x+1)

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kathy buys a water heater with a 40% off sale she pays 480$ what was the original price, someone please help

Damm [24]

Step-by-step explanation:

$480 is 40% off the original price

=> $480 is 60% of the original price

Hence the original price is $480 * (100/60) = $800.

7 0

3 years ago

A vertex of square is at(1,1) and its two parallel sides are y=x and y=x+1. find the equation of the remaining sides.Show your w

belka [17]

Answer:

$\displaystyle y = - x + 2$

$y = - x +1$

Step-by-step explanation:

we are given a vertex of a square i.e (1,1)

and the equations of the two parallel sides

notice that, the given vertex coordinates satisfy one of the parallel side i.e y=x which means that (1,1) points lie on one of Parallel sides

remember that,

every angles of a square is 90°

therefore,

we need to figure out the remaining Perpendicular line of the given Parallel sides so

let's figure out the perpendicular line of y=x line

recall that,

Parallel lines have the same slope thus

$\displaystyle m_{ \rm perpedicular} = - 1$

since we are given a vertex the equation of the perpendicular line should be

$\displaystyle y - 1 = - 1(x - 1)$

distribute:

$\displaystyle y - 1 = - x + 1$

add 1 to both sides:

$\displaystyle y = - x + 2$

to figure out the second perpendicular line we can consider the coordinates (0.5,0.5) of y=x equation

so the slope of the perpendicular line is -1

and the equation:

$y - 0.5 = - 1(x - 0.5)$

distribute:

$y - 0.5 = - x +0 .5$

add 0.5 to both sides:

$y = - x +1$

and we are done!

4 0

3 years ago

Coffee table is 20% odd the original price of $115. If there is 7.5% sales tax, what is the final price of the coffee table?

netineya [11]

100%-20%= 80%=0.8

115(0.8)= 92

92(1.075)= 98.9

The final price of the coffee table is $98.90.

Hope this helps!

3 0

3 years ago

2(y - 6) = 3(y - 4) - y

max2010maxim [7]

Answer:

it has unlimited answers.

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers

Which point is located on the line represented by the equation y + 2 = –5(x – 8)?

diamong [38]

Answer:

Answer: (8, 2)

${ \tt{y + 2 = - 5(x - 8)}}$

• when x is 2

${ \tt{y + 2 = - 5(2 - 8)}} \\ { \tt{y + 2 = - 10 + 40}} \\ { \tt{y + 2 = 30}} \\ { \tt{y = 28}}$

• when y is 2

${ \tt{2 + - 2 = - 5(x - 8)}} \\ { \tt{0 = - 5x + 40}} \\ { \tt{x = 8}}$

6 0

3 years ago