All categories

3 years ago

Write an equation of a line through (5,6) and (-1,4)

2 answers:

7 0

First, you would do y1-y2, which would be 6-4, which would be 2. Then you would do x1-x2, which would be 5-(-1), which equals 6. Then you would do 2/6, which equals 1/3. Then you would do (1/3)×-1, which would be -1/3. Then, 4-(-1/3), which would be 4 1/3. The equation is y=(1/3)x+4 1/3

ANEK [815]3 years ago

7 0

Answer:

Step-by-step explanation:

As we move from (-1, 4) to (5, 6), x increases by 6 and y increases by 2.

Thus, the slope of this line is m = rise / run = 2/6 = 1/3.

Starting from the slope-intercept form of the equation of a str. line,

y = mx + b

Substitute 6 for y and 5 for x, as well as 1/3 for m:

6 = (1/3)(5) + b.

Mult. both sides by 3, to eliminate fractions:

18 = 5 + 3b. Then 3b must equal 13, and b = 13/3.

The desired equation is y = (1/3)x + 13/3.

Check: Does the given point (-1, 4) satisfy this equation?

Is 4 = (1/3)(-1) + 13/3 true?

Is 4 = -1/3 + 13/3 true? YES

You might be interested in

What is the solution to the equation shown below

sattari [20]

$y=\dfrac{3}{x-2}+6\\\\Draw:\ y=\dfrac{3}{x}\\\\shift\ 2\ units\ right\ and\ 6\ units\ up.$

$y=\sqrt{x-2}+8\\\\Draw:\ y=\sqrt{x}\\\\shift\ 2\ units\ right\ and\ 8\ units\ up.$
<span>The answer is the first coordinate of the intersection point of the graphs:</span>
x = 3
<span />

3 0

3 years ago

Read 2 more answers

The expression 475 * 1.076 ^ t the average annual per capita health care costs, in dollars, in the US as a function of the numbe

Alik [6]

Answer:

$Y(t)= 475 (1.076)^t$

Where Y(t) represent the average annual per capita health care costs

475 represent the initial amount for the average annual per capita health care costs

t represent the number of years since 1970

And 1.076 represent the growth factor given by:

$1+r = 1.076$

And solving for r we got:

$r = 1.076-1 =0.076$

So for this case we can say that the value 1.076 represent the growth factor.

Step-by-step explanation:

For this case we have the following model given:

$Y(t)= 475 (1.076)^t$

Where Y(t) represent the average annual per capita health care costs

475 represent the initial amount for the average annual per capita health care costs

t represent the number of years since 1970

And 1.076 represent the growth factor given by:

$1+r = 1.076$

And solving for r we got:

$r = 1.076-1 =0.076$

So for this case we can say that the value 1.076 represent the growth factor.

7 0

3 years ago

Read 2 more answers

Alussa took a math test with 20 questions

anastassius [24]

Answer:

Step-by-step explanation: 100 divided by 20 is 5 therefore, each question is worth 5%. take how many questions she got right and multiply by 5. then determine if her score is less than or greater then 90%.

8 0

3 years ago

Addy bought a new shirt and she had a 20% off coupon . The coupon took $8.25 off of the price of her shirt. What did she pay wit

zloy xaker [14]

Answer:

$33

Step-by-step explanation:

Given: Addy had 20% off coupon.

The coupon took $8.25 off of the shirt price.

Lets assume the original cost of shirt be "x".

We know Addy had 20% off coupon, which help to reduce the price of shirt by $8.25.

∴ We can form an equation to know the original price of shirt.