Respuesta :

Answer:

The equation of the line would be y = 5/4x - 4

Step-by-step explanation:

To find the equation of any line, start by finding the slope using the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (-4 - 1)/(0 - 4)

m = -5/-4

m = 5/4

Now that we have the slope, use that and either point to get the equation of the line

y - y1 = m(x - x1)

y + 4 = 5/4(x - 0)

y + 4 = 5/4x

y = 5/4x - 4

The equation of the line would be y = (5/4) x - 4. Hence, option B is correct.

What is an equation?

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

To find the equation of any line, start by finding the slope using the slope formula.

m(slope) = (y₂ - y₁)/(x₂ - x₁)

m = (-4 - 1)/(0 - 4)

m = -5/-4

m = 5/4

Now that we have the slope, use that and either point to get the equation of the line.

y - y₁ = m(x - x1)

y + 4 = 5/4(x - 0)

y + 4 = 5/4x

y = 5/4x - 4

Hence, option B is correct.

To know more about equations follow

https://brainly.com/question/2972832

#SPJ2