Question

Write the equation of the linear function that models the relationship shown in the table.
(1 point)
Responses

y=x+34
y equals x plus 34

y=−10x+78
y equals negative 10 x plus 78

y=10x−2
y equals 10 x minus 2

y=10x+2


Table:
X Y
18 10
6 -3

Answer 1

What can you interpret about the equation y=−2x−8?(1 point)
Responses

The slope is −2, the y-intercept is −8, and the line is falling from left to right.
The slope is negative 2 , the y -intercept is negative 8 , and the line is falling from left to right.

The slope is 2, the y-intercept is −8, and the line is rising from left to right.
The slope is 2, the y -intercept is negative 8 , and the line is rising from left to right.

The slope is −2, the y-intercept is 8, and the line is rising from left to right.
The slope is negative 2 , the y -intercept is 8, and the line is rising from left to right.

The slope is −2, the y-intercept is 8, and the line is falling from left to right.
The slope is negative 2 , the y -intercept is 8, and the line is falling from left to right.

Answer 2

To find the equation of the linear function, we need to find the slope and y-intercept. The slope of a linear function is calculated by taking the change in y divided by the change in x.

From the table, we can see that when x changes from 18 to 6, y changes from 10 to -3. Therefore, the change in y is -3 - 10 = -13, and the change in x is 6 - 18 = -12.

The slope of the function is then -13 / -12 = 13 / 12.

To find the y-intercept, we can choose any point from the table and substitute it into the equation y = mx + b, where m is the slope. Let's use the point (18, 10):

10 = (13 / 12) * 18 + b
10 = 1.5 * 18 + b
10 = 27 + b
b = 10 - 27
b = -17

Finally, we can write the equation of the linear function:

y = (13 / 12) * x - 17

Answer 3

The interpretation of the equation y = -2x - 8 is:

The slope is -2, the y-intercept is -8, and the line is falling from left to right.