Find the equation of the linear function represented by the table below in slope-intercept form.x yminus, 2−2 minus, 14−1422 6666 26261010 4646

To find the equation of the linear function represented by the table, we can use the slope-intercept form, which is given by y = mx + b, where m is the slope and b is the y-intercept.

Step 1: Calculate the slope (m) To find the slope, we can choose any two points from the table. Let's choose the points (2, -2) and (10, 46).

m = (y2 - y1) / (x2 - x1) = (46 - (-2)) / (10 - 2) = 48 / 8 = 6

So, the slope (m) is 6.

Step 2: Find the y-intercept (b) To find the y-intercept, we can substitute the values of one of the points into the equation y = mx + b. Let's use the point (2, -2).

-2 = 6(2) + b -2 = 12 + b b = -2 - 12 b = -14

So, the y-intercept (b) is -14.

Step 3: Write the equation in slope-intercept form Now that we have the slope (m) and the y-intercept (b), we can write the equation in slope-intercept form.

y = mx + b y = 6x - 14

Therefore, the equation of the linear function represented by the table in slope-intercept form is y = 6x - 14.