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Pepsi [2]
3 years ago
15

What is the slope intercept form of 3x+4y=-24

Mathematics
2 answers:
vichka [17]3 years ago
8 0
Y=-6x+.75
Due to first you will have to subtract 3x from both sides then divide by 4 from both sides which will equal a slope of -6 and a y-intercept of .75 or three fourths

kozerog [31]3 years ago
6 0
Rearrange so 4y= -3x-24 then divide everything by 4so,

Y=-3x/4 - 6. The intercept is -6
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Consider the function f(x) defined by the finite set f(x)={(−2,5),(0,4),(1,−3)}. Graph the function f(x) and the transformation
Lelu [443]

let's calculate it step by step.

I'll assume that the function we look for is quadratic, because we only got 3 points

I plotted the 3 points for checking the equation later, and some intuited insight. see screenshot 1

let's write the general form of quadratic equations:

f(x) = a*x² + b*x + c

our goal is to correctly determine a, b and c

since we know from the 2nd point that

f(0) = a*0² + b*0 + c = 4

we can say

<em><u>c = 4</u></em>

this one comes almost for free

now to the next point, the 3rd one

f(1) = a*1² + b*1 + 4 = -3

we can write it as

a + b + 4 = -3

we can rearrange that to

<em><u>a = -b -7</u></em>

lastly, to the first point

f(-2) = a*(-2)² + b*(-2) + 4 = 5

simplified to

4a -2b + 4 = 5

since sort of defined a, let's plug it into our newest equation

4*(-b-7) -2b +4 = 5

we just swapped a for what its equal to.

now we just got numbers and b's

simplify it to

-4b -28 -2b +4 = 5

-6b -24 = 5

-6b = 29

<em><u>b = -29/6</u></em>

now we use the exact value of b to plug it into the rather simple equation from earlier. into this one

a = -b -7

a = -(-29/6) -7

a = 29/6 -42/6

<em><u>a= -13/6</u></em>

now that we got a, b and c we can write the whole equation

<em><u>f(x) = -13/6*x² -29/6*x +4</u></em>

see the graphic check in screenshot 2

second part of the problem:

if we want to move the whole graph 4 units down, we effectivly just cancel the +4 part

g(x) = f(x) -4 = f(x) = -13/6*x² -29/6*x +4 -4

<em><u>g(x) = -13/6*x² -29/6*x</u></em>

see screenshot 3 for the graph

5 0
2 years ago
Decribe how you regroup when you find the sum of 64 + 43
Marina86 [1]
You would Not have to regroup for this problem
6 0
3 years ago
Read 2 more answers
Three years ago, Sherman was twice as old as Clive. If Clive’s present age is c, which expression represents Sherman’s present a
iogann1982 [59]
2(c-3)=s

because you have to subtract 3 years from sherman's age first, so you need the parentheses
7 0
3 years ago
1. what is the perimeter of the triangle?<br> 2. what is the area of the triangle?
jonny [76]

Answer:

See below. A=45 p=39.64

Step-by-step explanation:

Hi = 9 squares (h)

Gh= 14 squares. (b)

Area of a triangle = 1/2 bxh

1/2 14 x 9

7x9= 45.

Area =45 squares.

Perimiter

A= side hi (9)

B= side gh (14)

C= side gi (unknown)

A^2 + b^2 = c^2

9^2 + 14^2 = 277

C^2 = 277

Square root of 277 =c

C length =16.64 squares

A+b+c = perimeter

9+14+16.64 = 39.64 squares.

Sorry I cannot see the units of measure in the photo

7 0
2 years ago
Which is an equation in point slope form of the line that passes through the points 7,5 and -4,-1
Free_Kalibri [48]

Answer:

the second option is the correct one

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

To calculate m use the slope formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (- 4, - 1)

m = \frac{-1-5}{-4-7} = \frac{-6}{-11} = \frac{6}{11}

Use either of the 2 points as (a, b)

using (- 4, - 1), then

y- (- 1) = \frac{6}{11}(x - (- 4)), that is

y + 1 = \frac{6}{11}(x + 4)

6 0
2 years ago
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