a table of values of a linear function is shown below.\nfind the slope and y - intercept of the functions…

a table of values of a linear function is shown below.\nfind the slope and y - intercept of the functions graph, and find the equation for the function.\nslope:\n\ny - intercept:\n\nequation:\n

a table of values of a linear function is shown below.\nfind the slope and y - intercept of the functions graph, and find the equation for the function.\nslope:\n\ny - intercept:\n\nequation:\n

Answer

Explanation:

Step1: Calculate the slope

The formula for slope (m=\frac{y_2 - y_1}{x_2 - x_1}). Let's take two points ((x_1,y_1)=(0,7)) and ((x_2,y_2)=(1,9)). (m=\frac{9 - 7}{1 - 0}=\frac{2}{1}=2)

Step2: Find the y - intercept

The y - intercept (b) is the value of (y) when (x = 0). From the table, when (x=0), (y = 7), so (b = 7).

Step3: Write the equation of the line

The slope - intercept form of a line is (y=mx + b). Substituting (m = 2) and (b = 7) into the formula, we get (y=2x+7).

Answer:

slope: (2) y - intercept: (7) equation: (y = 2x+7)