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Nady [450]
3 years ago
11

What is the equation of the linear function in standard form that has a slope of -4 and a y-intercept of -5?

Mathematics
1 answer:
Anastaziya [24]3 years ago
6 0

Step-by-step explanation:

y-Intercept = (0 , -5)

Slope / m = -4

y - y1 = m(x - x1)

y + 5 = -4(x - 0)

y = -4x - 5 → Equation

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10. Rewrite into slope-intercept form 7x + y = 25
ch4aika [34]

To write in slope-intercept form, you first need to get y by itself. To do this, subtract 7x from both sides of the equation.

Doing this gets you: y = 25 - 7x

Now that y is by itself, remember that slope-intercept form looks like this: y = mx + b

So, let's switch the right side.

y = -7x + 25

Slope intercept form is: y = -7x + 25

Rules for y in Slope-Intercept form:

y must be positive

y must be by itself (so, not 2y, or anything with it... just y)

8 0
3 years ago
The local zoo is filling two water tanks for the elephant exhibit. One water tank contains 30 gal of water and is filled at a co
kakasveta [241]
You first have to set up the two equations. Y is equal to the total number of gallons in a tank and x is equal to the number of hours the tanks are filling.

Since the two equations both equal y I can make them equal each other. I then solved for x as you see and got -4.

Once I found my x value I now needed to find my y. You only needed to chose one equation to solve for y, so I decided to do the first one. I plugged in -4 where my x value currently was and solved for y. I got 2.


If you have any questions please comment!! Hope this helps!!
3 0
3 years ago
Five friends split a $65.20 bill at a restaurant . They also each left $2.75 for the tip. How much money did each person pay in
kvv77 [185]
You start by doing 65.20 (the bill) divided by 5 (the amount of people paying)
65.20 / 5 = 13.04 

Then you add 13.04 (how much each person paid towards the bill) and 2.75 (the amount of money each person left as a tip) 
13.04 + 2.75 = 15.79

Each person paid $15.79
4 0
3 years ago
Read 2 more answers
KC: Perfect Squares
Svetlanka [38]
It is a perfect square

6 0
3 years ago
Help please!!!!!!!!!!!!!
Bingel [31]
Combine the 2nd and 3rd equations.  3x will disappear:

 2y + 5z = 7  This is true for any y and z, and is independent of x.
 
                                                            7-5z
Solving for y, 2y = 7 - 5z, so that y = ---------
                                                               2

We have to eliminate x again by using the 1st and 2nd equations:

 -2x - 6y - 2z = -2.  We want the coeff. of x in the first eqn to be -3.  

Therefore, mult. all terms of  -2x - 6y - 2z = -2  by 3/2:

(3/2)(-2x - 6y - 2z = -2) = -3x -9y  -3z =-3

Now add this version of the 1st row to the 2nd row:

  -3x -9y  -3z =-3
   3x +2y +5z = 7
----------------------
         -7y + 2z = 4
                                          7 - 5z
We found earlier that y = ----------, and can elim. y by subst. this fraction into 
                                              2

 -7y + 2z = 4.  Then     -7y + 2z = 4 becomes   -7( (7-5z)/2 ) + 2Z = 4.

Elim. the fraction by mult. all terms by 2:

-7(7-5z) + 4z = 8    which becomes    -49 + 35z + 4z = 8

so that 39z = 57, and so z = 57/39.

Subst. this back into -7y + 2z = 4 to calculate y.  Make a final subst. to calculate x.

Given the choice, I would solve this system using matrices.

Turns out that the solution, using matrices, does not exist.


                                             
8 0
3 years ago
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