Answer:
The equation of the line would be y = -2x - 8
Step-by-step explanation:
In order to find this equation we start by using the slope-intercept form.
y = mx + b
In this instance, m is equal to the slope and b is equal to the y-intercept. So we input those values.
y = -2x - 8
The equation of the line is [tex]y=-2x-8[/tex].
Given:
The slope of the line is [tex]-2[/tex].
The [tex]y[/tex]-intercept of the line is [tex](0,-8)[/tex].
To find:
The equation of the line.
Explanation:
The slope-intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, [tex]m[/tex] is the slope and [tex](0,b)[/tex] is the [tex]y[/tex]-intercept of the line.
Substituting [tex]m=-2[/tex] and [tex]b=-8[/tex] in (i), we get
[tex]y=(-2)x+(-8)[/tex]
[tex]y=-2x-8[/tex]
Therefore, the equation of the line is [tex]y=-2x-8[/tex].
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