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kaheart [24]
2 years ago
10

Find the equation for the linear function that passes through the points ( see photo)

Mathematics
2 answers:
Sidana [21]2 years ago
6 0

Answer:

f(x) = (-4/5)*x + 4

Step-by-step explanation:

The line which passes through these points will decrease y by 12 for every x increase of 15. This is the same as decreasing y by 4 for every x increase of 5. This means the slope (rise over run) is -4/5. If this is applied to the first point to find what y is at 0, then the point (0, 4) is on the line.

This means that f(x) = (-4/5)*x + 4

Scorpion4ik [409]2 years ago
3 0

Answer:

\large\boxed{y=-\dfrac{4}{5}x+4}

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}

We have the points (-5, 8) and (10, -4). Substitute:

m=\dfrac{-4-8}{10-(-5)}=\dfrac{-12}{15}=-\dfrac{12:3}{15:3}=-\dfrac{4}{5}

Put it to the equation of a line:

y=-\dfrac{4}{5}x+b

Put the coordinates of the point (-5, 8) to the equation, and solveit for b:

8=-\dfrac{4}{5\!\!\!\!\diagup_1}(-5\!\!\!\!\diagup^1)+b

8=4+b           <em>subtract 4 from both sides</em>

4=b\to b=4

Finally we have:

y=-\dfrac{4}{5}x+4

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Which of the following equations represents the line with a slope of -7/4 and a y-intercept of -11?
san4es73 [151]

Answer:

y = -7/4x - 11

Step-by-step explanation:

formula is y = mx + b

m is the slope

b is the y intercept

y = -7/4x -11

which is the first one

3 0
2 years ago
SOMEONE PLEASE JUST ANSWER THIS FOR BRAINLIEST!!!
stiv31 [10]

ANSWER

a=-2, b=3

EXPLANATION

The given equation is

(a {x}^{2})( - 6 {x}^{b}  ) = 12 {x}^{5}

Recall that:

{a}^{m}  \times  {a}^{n}  =  {a}^{m + n}

We simplify the left hand side to get:

- 6a {x}^{2 + b}  = 12 {x}^{5}

For this equation to be true, we must have:

-6a=12 and 2+b=5

This implies that,

a=-2 and b=3

6 0
3 years ago
Can you help me please
STALIN [3.7K]

Answer:

36

Step-by-step explanation:

Here we a given a rule

It say

x(y÷3)^2

And we are given the values of x and y as

x=4 and y = 9

Let us replace them in the rule we are provided with

4(9÷3)^2

Applying DMAS rule, which says, first Division ollowed by Multiplication addition and then subtraction .

We first divide 9 by 3

9÷3 = 3

Hence

4(9÷3)^2 = 4(3)^2

Now we square first

3^2 = 3 \times 3 = 9

4(3)^2 = 4 \times 9

4(3)^2 = 36

Hence our final answer will be 36

4 0
3 years ago
Can someone help my sis on these questions? I dont remember how to do these things (part 1)
NNADVOKAT [17]

Answer:

Read below for each answer! (^-^)

Step-by-step explanation:

1: You got the first one right. The explanation does explain why but think about 0 as the surface of the water to better understand.

2: -3; it is between 2 and 4 with only one line through it meaning that it is -3.

3: 7. That's the greatest number both can divide into it.

4: The last one. Any positive number is greater than a negative one and peanut butter's freezing point is positive while the other one's is not.

5: You got it right again! -(-1) has two negatives. Two negatives (mostly) make a positive. So positive 1! Now describe that on a number line.

Hope this helps!

4 0
2 years ago
Which expression is equivalent to log 3(x+4)
larisa86 [58]

Answer:

log 3(x+4) = log 3 + log (x+4)

Step-by-step explanation:

Because 3(x+4) is a product, log 3(x+4) = log 3 + log (x+4).

6 0
3 years ago
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