Question

Use the table to answer the question. x y 18,10 6,−3 Write the equation of the linear function represented by the table. (1 point)

Answer 1

you sure?

Answer 2

The equation of the linear function represented by the table can be found by finding the slope (m) and the y-intercept (b).

To find the slope, we can use the formula:

m = (change in y) / (change in x)

For this table:

(change in y) = -3 - 10 = -13
(change in x) = 6 - 18 = -12

m = (-13) / (-12) = 13/12

To find the y-intercept, we can use the formula:

b = y - mx

Using the point (18, 10):

b = 10 - (13/12)(18) = 10 - (13/12)(3/2) = 10 - 13/8 = 67/8

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

y = (13/12)x + 67/8

Answer 3

I apologize for the incorrect response. Let's re-evaluate the problem.

Given the points (18,10) and (6,-3), we can find the equation of the linear function using the slope-intercept form:

y = mx + b

The slope (m) can be determined using the formula:

m = (change in y) / (change in x)

(change in y) = -3 - 10 = -13
(change in x) = 6 - 18 = -12

m = (-13) / (-12) = 13/12

To find the y-intercept (b), substitute one of the points into the equation and solve for b. Let's use the point (18,10):

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

Multiply both sides by 12 to eliminate the fraction:

120 = 13(18) + 12b
120 = 234 + 12b
12b = -114
b = -9.5

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

y = (13/12)x - 9.5