Question

a table of values of a linear function is shown below.

x	0	1	2	3	4
y	-7	-5	-3	-1	1

find the y - intercept and slope of the functions graph, and find the equation.
y - intercept:
slope:
equation:

Explanation:

Step1: Find the y - intercept

The y - intercept is the value of y when x = 0. From the table, when x = 0, y=-7. So the y - intercept is - 7.

Step2: Calculate the slope

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points from the table, say (0,-7) and (1,-5). Then $m=\frac{-5-(-7)}{1 - 0}=\frac{-5 + 7}{1}=2$.

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 = 2 and b=-7, we get y = 2x-7.

Answer:

y - intercept: - 7
slope: 2
equation: y = 2x-7