Question

Slope=4/3 y-intercept=-5

Answer 1

Answer: 4/3 - 5

I assume you want to know the numbers in slope intercept form so... yeah

Step-by-step explanation

Answer 2

The equation of the line in point-slope form is:

`y+5=\:(4)/(3)\left(x-0\right)`

The graph is also attached below.

Explanation:

Given

• Slope m = 4/3

• y-intercept = -5

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:

`y-y_1=m\left(x-x_1\right)`

where

• m is the slope of the line

• (x₁, y₁) is the point

In our case,

• m = 4/3

• (x₁, y₁) = (0, -5)

substituting m = 4/3 and the point (0, -5) in the point-slope form

`y-y_1=m\left(x-x_1\right)`

`y\:-\:\left(-5\right)\:=\:(4)/(3)\:\left(x\:-\:0\right)`

`y+5=\:(4)/(3)\left(x-0\right)`

Therefore, the equation of the line in point-slope form is:

`y+5=\:(4)/(3)\left(x-0\right)`

The graph is also attached below.