Question

Use Vocabulary in Writing

Explain how to write a linear function in the form y= mx + b by using
the two points given below. Use vocabulary words in your explanation.
(0, -2), (2,6)

Answer 1

Step-by-step explanation:

So you know that m=
`(y)/(x)`. To find that you need to take one y(6) coordinate and subtract the other y(-2) coordinate. So then you put that in the nominator. Then you take the x(2) coordinate from the same pair that you started with the y(6) coordinate and subtract the other x(0). You put that answer in the denominator. That's how you find slope=m. Then you plug slope in the equation.

y =
`(8)/(2)` x + b

Then you take on y coordinate and plug it into y.

6 = 4 x + b

Then you insert the x coordinate from the same pair that you did y.

6 = 4(2) + b

Now 4 times 2 is 8 and 8 is not equal to 6. So b must be -2.

You can check it with the other coordinates, and that's how you check your original answer.

I'm in 7th grade hope you found it helpful.

Answer 2

To write a linear function in the form y = mx + b, find the slope (m) using the coordinates of two points and then find the y-intercept (b) by substituting the slope and one of the points into the equation.

Step-by-step explanation:

To write a linear function in the form y = mx + b using two points, we first need to find the slope (m) and then the y-intercept (b).

1. Find the slope (m) using the formula m = (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.
2. Substitute the slope (m) into the equation y = mx + b.
3. Choose one of the given points and substitute the coordinates into the equation to find the y-intercept (b).
4. Write the final equation in the form y = mx + b, where m is the slope and b is the y-intercept.

Using the points (0, -2) and (2, 6) as an example, we first find the slope: m = (6 - (-2))/(2 - 0) = 8/2 = 4. Then, substituting the slope into the equation, we get y = 4x + b. We can choose the point (0, -2) to find the y-intercept: -2 = 4(0) + b, which gives b = -2. Therefore, the linear function in the form y = mx + b is y = 4x - 2.

Learn more about Writing a linear function