Use the table to answer the question. x y 18 10 6 −3 Write the equation of the linear function represented by the table.

Answer 1

To find the equation of the linear function, we need to first find the slope of the line. The slope is given by the formula:

m = (y2 - y1) / (x2 - x1)

Using the coordinates (18, 10) and (6, -3), we have:

m = (-3 - 10) / (6 - 18)
m = -13 / -12
m = 13/12

Now, we can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept. Let's substitute the values we have:

10 = (13/12)(18) + b

Now, we can solve for b:

10 = 39/2 + b
b = 10 - 39/2
b = 20/2 - 39/2
b = -19/2

Therefore, the equation of the linear function represented by the table is:

y = (13/12)x - 19/2

Answer 2

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

Answer 3

The correct interpretation of the equation is:

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