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

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

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

Answer

Explanation:

Step1: Find the y - intercept

The y - intercept is the value of y when x = 0. From the table, when x = 0, y=-6.

Step2: Calculate the slope

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points, say (0, - 6) and (1, - 3). Then $m=\frac{-3-(-6)}{1 - 0}=\frac{-3 + 6}{1}=3$.

Step3: Find the equation of the line

The slope - intercept form of a line is y=mx + b, where m is the slope and b is the y - intercept. Substituting m = 3 and b=-6, we get y = 3x-6.

Answer:

y - intercept: -6 slope: 3 equation: y = 3x-6