The slope and the y-intercept of the linear function containing the points given in the table are:
A. The slope is 3/4
The y-intercept is (0, -2)
Recall:
- Slope-intercept form is: y = mx + b, where, y-intercept = b, and m = slope
Given the pairs of points on the table as (0, -2) and (4, 1), we can find the slope and the y-intercept as follows:
Slope of the line = rise/run = [tex]\frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 1}{0 - 4} = \frac{-3}{-4} = \frac{3}{4}[/tex]
slope (m) = 3/4
To find the y-intercept (b), substitute (x, y) = (4, 1) and m = 3/4 into y = mx + b
[tex]1 = \frac{3}{4} (4) + b\\\\1 = 3 + b\\\\1 - 3 = b\\\\-2 = b\\\\b = -2[/tex]
This means, the value of y when x is 0 is: -2 (0, -2).
Therefore the slope and the y-intercept of the linear function containing the points given in the table are:
A. The slope is 3/4
The y-intercept is (0, -2)
Learn more here:
https://brainly.com/question/9753782