Question

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

Explanation:

Step1: Find y - intercept

The y - intercept is the value of y when x = 0. From the table, when x = 0, y = 3.

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, 3) and (1, 2). Then $m=\frac{2 - 3}{1 - 0}=\frac{-1}{1}=-1$.

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=-1 and b = 3, we get y=-x + 3.

Answer:

y - intercept: 3
slope: -1
equation: y=-x + 3