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s2008m [1.1K]
3 years ago
11

A linear function has a slope of -7 /9 and a y-intercept of 3. How does this function compare to the linear function that is rep

resented by the equation y + 11 = -7/9 (x minus 18)?

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
7 0

Answer:

  both functions have the same graph

Step-by-step explanation:

The first function is described in terms of its slope and y-intercept, so can be written in slope-intercept form as ...

  y = mx + b . . . . m = slope (-7/9); b = y-intercept (3)

  y = -7/9x +3

__

The second function is written in point-slope form:

  y -k = m(x -h) . . . . m = slope (-7/9), point = (h, k) = (18, -11)

  y +11 = -7/9(x -18)

If we rearrange the second equation to the form of the first, we get ...

  y = -7/9x +14 -11 . . . . eliminate parentheses, subtract 11

  y = -7/9x +3 . . . . . . . matches the equation of the first function

__

Both functions describe the same relation.

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What is the equation of the following line written in slope intercept form? (-5,-1)
solmaris [256]

Answer:

\large\boxed{y=-\dfrac{2}{3}x-\dfrac{13}{3}}

Step-by-step explanation:

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

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

From the graph we have two points (-5, -1) and (-2, -3).

<em>Look at the picture</em>.

Calculate the slope:

m=\dfrac{-3-(-1)}{-2-(-5)}=\dfrac{-2}{3}=-\dfrac{2}{3}

Put it to the equation in slope-intercept form:

y=-\dfrac{2}{3}x+b

We can't read the y-intercept from the graph. Therefore put the coordinates of the point (-5, -1) to the equation and calculate <em>b</em>:

-1=-\dfrac{2}{3}(-5)+b

-1=\dfrac{10}{3}+b         <em>subtract 10/3 from both sides</em>

-\dfrac{3}{3}-\dfrac{10}{3}=b\to b=-\dfrac{13}{3}

Finally:

y=-\dfrac{2}{3}x-\dfrac{13}{3}

4 0
4 years ago
The volume of a box is 143.4 in3. find the volume of a larger, similarly shaped box that has a scale factor of 3. round your ans
just olya [345]

Answer:

1,290.6 in3                                                                                                                                                  

nut.

8 0
2 years ago
1 − 3 10 . Write the answer as a fraction
Brilliant_brown [7]

Answer:

7/10

Step-by-step explanation:

7 at the top, 10 at the bottom

8 0
3 years ago
Find the value of x. Then find the measure of each labeled angle.
Nat2105 [25]

Answer:

x = 70; the labeled angles are 110º and 70º.

Step-by-step explanation:

The full degrees will add up to 180º. There are 2x and +40.

Equation: 2x+40=180

Solve: 2x+40=180\\\\180-40=140\\\\2x=140\\\\x=70

Since x=70, 70+40 will equal to 110.

Therefore, "x = 70; the labeled angles are 110º and 70º." is correct.

7 0
3 years ago
Read 2 more answers
Slove the following system of equations <br> 7x+2y=-25<br> -5x-4y=5
Bingel [31]

Answer:

x=-5

y=5

Step-by-step explanation:

Explanation is in picture (Where the lines cross is your answer)

Tip: Try using desmo calculator. Where the lines cross is your answer so all you need to do is type in your equations

6 0
3 years ago
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