Question

The table of values below represents a linear relationship.

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:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{0-3}{4-0}$

$m=\dfrac{-3}{4}$

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 $\dfrac{-3}{4}$ and the y-intercept of the line is 3.