Final answer:
The equation of the linear function represented by the table in slope-intercept form is y = 6x + 8.
Step-by-step explanation:
The equation of a linear function is represented in slope-intercept form as y = mx + b, where m is the slope and b is the y-intercept.
To find the equation of the linear function represented by the table, we need to determine the values of m and b.
Given the table:
x: 0 1 2 3 4
y: 8 14 20 26 32
The slope (m) can be calculated by taking the difference in y-values divided by the difference in x-values: m = (y2 - y1) / (x2 - x1). Using the first two points, we have m = (14 - 8) / (1 - 0) = 6 / 1 = 6.
The y-intercept (b) can be found by substituting one point into the equation y = mx + b and solving for b. Using the first point, we have 8 = 6(0) + b, which simplifies to b = 8.
Therefore, the equation of the linear function is y = 6x + 8.