Answer:
[tex]y = - 2x - 8[/tex]
Step-by-step explanation:
The equation of a line with slope, m and y-intercept , b is given by
[tex]y = mx + b[/tex]
From the question, the given line has slope -2.
This implies that:
[tex]m = - 2[/tex]
The y-intercept is given as (0,-8).
When we compare to (0,b), we have b=-8.
Therefore the equation is
[tex]y = - 2x + - 8[/tex]
When we simplify, we get:
[tex]y = - 2x - 8[/tex]
The required equation of the line whose slope is -2 and y-intercept is (0,-8) is (y = -2x -8) and this can be determined by using the slope-intercept form.
Given :
The slope-intercept form can be used to determine the equation of the line whose slope is -2 and the y-intercept is (0,-8).
The slope-intercept form is given by the equation:
y = mx + c ---- (1)
where 'm' is the slope of the equation and 'c' is the y-intercept.
Now, put the value of m that is -2 and the value of c that is -8 in the equation (1).
y = -2x - 8
So, the required equation of the line whose slope is -2 and y-intercept is (0,-8) is (y = -2x -8).
For more information, refer to the link given below:
https://brainly.com/question/18666670
