Use the table to answer the question. x 18 6 y 10 −3. Write the equation of the linear function represented by the table. (1 point) Responses y=(12/13) x − (111/13). y = −19/2. y =(−13/12)x + (7/2) y = (13/12)x−(19/2)

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
11 months ago

Based on the given table, the linear function can be determined by finding the slope and y-intercept.

To find the slope, we can use the formula:

slope (m) = change in y / change in x = (y2-y1) / (x2-x1)

Using the values from the table, the slope can be calculated as follows:

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

To find the y-intercept, we can substitute the values of x and y from any point in the table into the equation y = mx + b and solve for b.

Taking the point (18, 10):

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