Question

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

X
y
0
-3
y-intercept:
slope:
equation:
1
-1
Find the y-intercept and slope of the function's graph, and find the equation for the function.
-3
0
2
1
y = 0
3
3
4
5
8 08 0-0
3
X

Answer 1

Explanation:

The y-intercept of a function can be found by looking at the point where the x-coordinate is 0. In this case, the y-intercept of the function is -3, as the point (0,-3) is on the graph.

The slope of a function can be found by looking at the change in y divided by the change in x between two points on the graph. In this case, we can use the points (0,-3) and (1,-1) to find the slope. The change in y is -1 - (-3) = 2 and the change in x is 1 - 0 = 1. So the slope is 2/1 = 2.

Therefore, the equation of the function can be written in slope-intercept form as y = mx + b, where m is the slope and b is the y-intercept. So the equation of the function is:

y = 2x - 3

It's the equation of a line that pass through (0,-3) and (1,-1) and (2,1) and (3,3) and (4,5)