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ruslelena [56]
4 years ago
8

What is the slope-intercept form of a linear equation? explain why this form is called the slope-intercept form?

Mathematics
1 answer:
Leviafan [203]4 years ago
5 0
The slope-intercept form of a linear equation is y=mx+b. m being the slope (part one of name) and b being the y-intercept (part 2 of name).
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2x-5y=3 4y-x=-3 solve by elimination
loris [4]

Answer:

x = -1 and y = -1

Step-by-step explanation:

to solve this equation we say

let

2x-5y=3.......................................... equation 1

4y-x=-3............................................equation 2

from equation 2

4y-x=-3............................................equation 2

4y + 3 = x

i.e

x = 4y + 3 .............................................  equation 3

put x = 4y + 3 in equation 1

2(4y +3) - 5y = 3

8y + 6 -5y = 3

3y +6 = 3

3y= 3-6

3y -3

divide both sides by the coefficient  of y  which is 3

3y/3 = -3/3

y = -1

put y = -1 into equation 3

x = 4y + 3 .............................................  equation 3

x = 4(-1) + 3

x = -4 + 3

x = -1

therefore the value of x = -1 and y = -1 respectively

4 0
3 years ago
Find the equation of the line with slope = 6 and passing through (-4,-22). Write your equation in the form
dusya [7]

Answer:

  y = 6x +2

Step-by-step explanation:

It is useful to start with the point-slope form of the equation for a line when you are given a point and a slope.

  y -k = m(x -h) . . . . line with slope m through point (h, k)

  y -(-22) = 6(x -(-4))

  y +22 = 6x +24 . . . simplify

  y = 6x +2 . . . . . . subtract 22

8 0
3 years ago
23 + 8m + 4n - 5m - 27​
mylen [45]

Answer:

-4 + 3m + 4n

Step-by-step explanation:

In this question, you are combining like terms, meaning doing equations to numbers that fit with only each other.

<u>So we should start on the number without variables:</u>

23 and 27

<u>Match them up together and you should find your first equation:</u>

23 - 7

==> -4

So we should have  -4  +  8m  +  4n  -  5m

Now we should combine the numbers with the variable of m:

8m and 5m

<u>Match them up together and you should find your first equation:</u>

<u></u>

8m - 5m

==> 3m

So we should now have -4  + 3m  + 4n

<u></u>

<u>Since there are no other variables of n, we are all done:</u>

<u>-4  + 3m  + 4n  is  your  final  answer </u>

4 0
3 years ago
Rossi is planning a date with his girlfriend. He plans for them to watch movies out to dinner and then attend
schepotkina [342]

Answer:

80

Step-by-step explanation:

5 * 8 * 2

5 0
3 years ago
Solve the following inequality for x (nearest tenth):<br> -4&lt;-17.03-7x
Mila [183]

Answer:

x<-1303/700

Step-by-step explanation:

8 0
4 years ago
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