The line equation in its slope-intercept form is y = 1.5 · (x - 8), the slope and the y-intercept of linear function are 1.5 (according to the information of the table) and -12, respectively.
How to determine a linear function in slope-intercept form
By analytical geometry we know that linear functions can be constructed by know the location of two distinct points on a Cartesian plane and the slope-intercept form is described below:
y - y₁ = m · (x - x₁) (1)
Where:
- x - Independent variable
- y - Dependent variable
- x₁, y₁ - Coordinates of the know point.
- m - Slope
According the table, the slope of the function is 1.5, as there a change in y of 3 for a change in x of 2. Lastly, we determine the line equation in slope-intercept form: m = 1.5, x₁ = 8, y₁ = 0
y = 1.5 · (x - 8)
And the y-intercept is found for x = 0:
y = 1.5 · (0 - 8)
y = -12
The line equation in its slope-intercept form is y = 1.5 · (x - 8), the slope and the y-intercept of linear function are 1.5 (according to the information of the table) and -12, respectively. [tex]\blacksquare[/tex]
To learn more on linear functions, we kindly invite to check this verified question: https://brainly.com/question/21107621
