find the equation of the linear function represented by the table below in slope - intercept form.\nanswer…
find the equation of the linear function represented by the table below in slope - intercept form.\nanswer attempt 1 out of 2\ny =
Answer
Explanation:
Step1: Find the slope (m)
The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Let's take two points ((0,-8)) and ((1,-2)). Then (m=\frac{-2-(-8)}{1 - 0}=\frac{-2 + 8}{1}=6).
Step2: Determine the (y) - intercept (b)
The slope - intercept form of a line is (y=mx + b). When (x = 0), (y=b). From the table, when (x = 0), (y=-8), so (b=-8).
Step3: Write the equation
Substitute (m = 6) and (b=-8) into (y=mx + b). We get (y=6x-8).
Answer:
(y = 6x-8)