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3 years ago

How to write the slope intercept form of the equation of the line through the given points?

1 answer:

8 0

Slope intercept form of an equation is:
y = mx + b
where m is the slope and b is the t intercept.

First you must determine the slope of the line. This is a ratio of how fast the line travels up or down vs how fast it is moving to the right. Another name for this is rise over run. The equation to find the slope is:
m = (y1 - y2) / (x1 - x2)

now to find b. We can plug in one of the points of the equation into our first equation along with the slope to get out b value.

So if our 2 points were (2, 3) and (3, 4) we could find slope intercept form like this:
m = (2 - 3) / (3 - 4)
m = -1 / -1
m = 1
Now taking point (2, 3)
3 = 1 * 2 + b
1 = b
Finally to plug our m and b into equation for answer:
y = 1x + 1
However, 1 * anything is redundant therefore:
y = x + 1

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the grocery store is selling bananas for $0.35 per lb .how much will Zack pay for 3.6 lbs. of bananas?

Paraphin [41]

0.35*3.6=$1.26 Zack will pay $1.26 lbs of bannas
Hope this helped :DD

Download pdf

6 0

3 years ago

What does x equal in the equation 2x + y - 3z equals -12

lidiya [134]

2x+y-3z=12

2x=4z-y

x=2z-y/2

8 0

3 years ago

Write a linear function (y=Mx+b) or exponential function that models the data

Molodets [167]

We are given a data set and we are asked to write the model that fits the data. We notice that for each step of "x" the values of "y" increase by the same amount. That means that the data follow a linear model, therefore, we will use:

$y=mx+b$

Where:

$\begin{gathered} m=\text{ slope} \\ b=\text{ y-intercept} \end{gathered}$

To determine the slope "m" we will use the following formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Where:

$(x_1,y_1),(x_2,y_2)$

Are data points. From the table we choose the following points:

$\begin{gathered} (x_1,y_1)=(-8,47) \\ (x_2,y_2)=(-7,40) \end{gathered}$

Now, we substitute in the equation for the slope:

$m=\frac{40-47}{-7-(-8)}$

Solving the operations:

$m=\frac{-7}{-7+8}=-7$

Therefore, the slope is -7. Substituting in the equation of the line we get:

$y=-7x+b$

Now, we substitute one of the points to get the value of "b". We will substitute the value x = -8, y = 47, we get:

$47=-7(-8)+b$

Solving the product:

$47=56+b$

Now we subtract 56 from both sides:

$\begin{gathered} 47-56=56-56+b \\ -9=b \end{gathered}$

Now, we substitute the value of "b" in the equation of the line:

$y=-7x-9$

And thus we get the line equation.

3 0

1 year ago

At the grand opening of a new store, every 9th customer will receive a balloon and every 12th customer will receive a $10 gift c

ehidna [41]

Answer: 36th customer.

Step-by-step explanation: 36 is divisible by both 9 and 12, and is the least common multiple.

6 0

3 years ago

What is the sum of the angle measures of a 37-gon?

Mkey [24]

The sum of the interior angles with n number of sides is solved through the equation,
S = 180 x (n - 2)
For 37 - gon,
S = 180 x (37 - 2) = 6300
Thus, the sum of the interior angles of a 37-gon is 6300°.

8 0

3 years ago