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3 years ago

Write an equation in slope-intercept form for the line with y-intercept −5 and slope −2/5

Mathematics

1 answer:

riadik2000 [5.3K]3 years ago

8 0

Answer:

$\large\boxed{y=-\dfrac{2}{5}x-5}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

We have

$m=-\dfrac{2}{5},\ b=-5$

Substitute:

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

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The midpoint of an is me -2,-6 if the coordinates of a are 1,-4 what are the coordinates of b

nalin [4]

Given:

$\text{ The midpoint of }\bar{AB}\text{ is }M(-2,-6).\text{ Co-ordinates of A are }(1,-4).$

Required:

What are the coordinates of B?

Explanation:

We know the mid-point of of line between two points is:

$(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Now, let point B(x1, y1)

$\begin{gathered} (-2,-6)=(\frac{1+x_1}{2},\frac{-4+y_1}{2}) \\ \text{ Equate Co-ordinates} \\ \frac{1+x_1}{2}=-2 \\ 1+x_1=-4 \\ x_1=-5 \\ and \\ \frac{-4+y_1}{2}=-6 \\ -4+y_1=-12 \\ y_1=-8 \end{gathered}$ $\text{ Point B is }(-5,-8)$

Answer:

Hence, (-5,-8) is point B.

3 0

1 year ago

What is the value of the expression? A. 3 B. 12 C. 27 D. 81

Aleksandr [31]

I think the answer a

6 0

3 years ago

Read 2 more answers

3x+y=4 2x+y=5 solve using linear combination

Advocard [28]

Idk what linear combination is but you can solve this way:
3x+y=4
-2x-y=-5
x=-1
3(-1)+y=4
-3+y=4
y=7
So x=-1 and y=7

3 0

3 years ago

Read 2 more answers

bobby’s christmas list had 3 more than twice as many items on it than johnny’s list. johnny asked for 8 fewer items than bobby.

Nataly [62]

Answer:

Johnny had 5 items and Bobby had 13 items.

Step-by-step explanation:

Let us assume that Johnny has x items and Bobby has y items in their list.

Bobby had 3 more than twice as many items on it than Johnny. So,

$\Rightarrow y=3+2x$ ----------1

Johnny asked for 8 fewer items than bobby. So,

$\Rightarrow y-8=x$ -----------2

Putting the value of x from equation 2 in equation 1, we get

$\Rightarrow y=3+2(y-8)$

$\Rightarrow y=3+2y-16$

$\Rightarrow 2y-y=16-3$

$\Rightarrow y=13$

Putting the value of y in equation 2,

$\Rightarrow 13-8=x$

$\Rightarrow x=5$

So, Johnny had 5 items and Bobby had 13 items.

3 0

3 years ago

Employee earned $37,000 during the year working for an employer when the maximum limit for social security was $118,500 each cal

PIT_PIT [208]

Answer:2907

Step-by-step explanation:

FICA Taxes = wages * (FICA tax rate+ Medicare tax rate)

FICA= 38,000*(.062+.0145)=2907 employee share

6 0

3 years ago