Respuesta :

Rinkhals

We know that the form of line passing through point (x₀ , y₀) and having slope m is :

[tex]\clubsuit[/tex]  y - y₀ = m(x - x₀)

Here the line passes through the point (5 , -3)

⇒ x₀ = -2 and y₀ = -5

Given : Slope(m) = -8

Substituting all the values in the standard form, We get :

Equation of the line : y + 3 = -8(x - 5)

kudzordzifrancis

ANSWER

The point slope form is [tex]y+3=-8(x-5)[/tex]

EXPLANATION


The point slope form of the equation of a straight line is given by the formula;

[tex]y-y_1=m(x-x_1)[/tex].


Where [tex]m[/tex] is the slope of the straight line and the point [tex](x_1,y_1)[/tex] lies on the line.


We were given the slope to be [tex]-8[/tex]. This means that [tex]m=-8[/tex].


We were also given that the point [tex](5,-3)[/tex] lies on the line.


We substitute all these values in to the above equation to obtain,

[tex]y--3=-8(x-5)[/tex]


This simplifies to


[tex]y+3=-8(x-5)[/tex]


The correct answer is D