Answer:
The equation of the line in point-slope form is:
[tex]y+5=\:\frac{4}{3}\left(x-0\right)[/tex]
The graph is also attached below.
Step-by-step explanation:
Given
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
As we are given the y-intercept = -5
Thus, the point (0, -5) represents the y-intercept.
Point slope form:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
- m is the slope of the line
In our case,
substituting m = 4/3 and the point (0, -5) in the point-slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y\:-\:\left(-5\right)\:=\:\frac{4}{3}\:\left(x\:-\:0\right)[/tex]
[tex]y+5=\:\frac{4}{3}\left(x-0\right)[/tex]
Therefore, the equation of the line in point-slope form is:
[tex]y+5=\:\frac{4}{3}\left(x-0\right)[/tex]
The graph is also attached below.
