Question

Write the linear equation for the given table: Y=mx+b, where x values are 2, 5, 7, 11, 13, and corresponding

y values are 16, 10, 6, -2, -6.

Answer 1

The linear equation for the given table is y = 3x + 10.

Step-by-step explanation:

The linear equation for the given table is y = 3x + 10.

To find the equation, we can use any two points from the table and calculate the slope (m) and y-intercept (b). Let's use the points (2, 16) and (5, 10). The slope is (10-16)/(5-2) = -2, and the y-intercept can be found by substituting one of the points into the equation: 16 = 3(2) + b. Solving, we get b = 10.

Therefore, the equation is y = 3x + 10.