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2 years ago

A line passes through (3, 7) and (6, 9). Which equation best represents the line?

Mathematics

2 answers:

sp2606 [1]2 years ago

8 0

The name is the second option y= (2/3)x +5. Hope this helps

Sidana [21]2 years ago

8 0

Let's recall the equation to find out the slope of a line:

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Next, we substitute our given values into the equation, and simplify:

$\frac{9-7}{6-3}=\frac{2}{3}$

Now, we insert the slope (2/3) into the y=mx+b equation and substitute the values from one of the coordinates to find what b, the y-intercept is:

$y=\frac{2}{3}x+c \\ 7=\frac{2}{3}(3)+c \\ 7=2+c \\ c=5$

So, the y-intercept is 5. We can now put our discovered values for the slope and the y-intercept into one equation:

$y=\frac{2}{3}x+5$

The answer is B.

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Mikel asked her father how old he is gues the father said I you add the digits that make my age this year you'll get a number th

Alexxx [7]

Answer:

For the sum of the digits of Michelle’s father to drop to 1/3 of its’ former value, the second digit must go from 9 to 0, in one year.

Thus, if he is 39 this year, the sum of the digits of his age will be 12. Next year, when the sum of the digits would be 4+0, or 4, then the digits of his age would be 1/3rd of their former value.

Therefore, he is 39, and will be 40 next year

Step-by-step explanation:

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2 years ago

Karl drove 619.5 miles. For each gallon of gas, the car can travel 41 miles. What is a reasonable estimate of the number of gall

dusya [7]

Answer:

Step-by-step explanation:

Calculation for What is a reasonable estimate of the number of gallons of gas Karl used

Estimated number of gallons used=619.5 miles/41 miles

Estimated number of gallons used=15

Therefore the reasonable estimate of the number of gallons of gas Karl used is 15

6 0

2 years ago

Which function is graphed below?

kupik [55]

Answer:

f(x)=cos(x)

The amplitude is equal to 1. The period is 2π.

7 0

3 years ago

For the graphed exponential equation, calculate the average rate of change from x = −3 to x = 0.

iragen [17]

Answer:

$-\frac{7}{3}$

Step-by-step explanation:

To solve this, we are using the average rate of change formula:

$m=\frac{f(b)-f(a)}{b-a}$

where

$m$ is the average rate of change

$a$ is the first point

$b$ is the second point

$f(a)$ is the function evaluated at the first point

$f(b)$ is the function evaluated at the second point

We want to know the average rate of change of the function $f(x)=0.5^x-6$ form x = -3 to x = 0, so our first point is -3 and our second point is 0. In other words, $a=-3$ and $b=0$ .