Question

The table of values below represents a linear relationship.

Y
4
6
0
3
4
0
What is the slope and y-intercept for this line?
Slope
y-intercept

Answer 1

Given:

The table of values.

To find:

The slope and y-intercept for this line.

Solution:

From the given table, we have three (-4,6), (0,3), (4,0).

We need to find the slope and y-intercept for this line.

Consider any two points from the given points.

Consider the line passes through the points (0,3) and (4,0). So, the slope of the line is:

`m=(y_2-y_1)/(x_2-x_1)`

`m=(0-3)/(4-0)`

`m=(-3)/(4)`

The line passes through the point (0,3). Here the x-coordinate is 0. So, the y-intercept is 3.

Therefore, the slope of the line is
`(-3)/(4)` and the y-intercept of the line is 3.