Respuesta :
The equation of line in slope intercept form is [tex]y = \frac{1}{3} x-4[/tex].
What is equation of line in slope intercept ?
A linear equation in the form of y = mx + b is called a slope intercept form of line. In which m is the slope and b is the y intercept.
Let the equation of line in slope intercept form be [tex]y = mx + b[/tex] .
According to the given question
We have
A slope of line, m = 1/3.
And, a point (0,-4).
Substitute, m = 1/3, x = 0 and y = -4 in the equation y = mx +b.
⇒ [tex]-4 =\frac{1}{3}(0) + b[/tex]
⇒ [tex]b = -4[/tex]
Therefore, the slope intercept form of the line is [tex]y = \frac{1}{3} x-4[/tex].
( By substituting m = 1/3 and b = -4 in y = mx + b)
Learn more about the slope intercept form of a line here:
https://brainly.com/question/9682526
#SPJ2
