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:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{0-3}{4-0}[/tex]
[tex]m=\dfrac{-3}{4}[/tex]
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 [tex]\dfrac{-3}{4}[/tex] and the y-intercept of the line is 3.