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)
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.