Question

Use the table to answer the question. This Is how this table goes. x Is: 18, 6. and the y intercept is: 10, -3 Write the equation of the linear function represented by the table. (1 point)

Answer 1

To find the equation of the linear function represented by the table, we need to determine the slope and y-intercept.

Given that x is 18 when y is 6, we can calculate the slope:

slope = (change in y)/(change in x) = (6 - (-3))/(18 - 10) = 9/8

Using the point-slope form of a linear equation, we can plug in the values of the slope and the coordinates of the y-intercept (10, -3) to get the equation:

y - y1 = m(x - x1)
y - (-3) = (9/8)(x - 10)
y + 3 = (9/8)(x - 10)

To get the equation in standard form, we multiply through by 8:

8(y + 3) = 9(x - 10)
8y + 24 = 9x - 90
9x - 8y = 114

Therefore, the equation of the linear function represented by the table is 9x - 8y = 114.