Respuesta :

bhavya2vemuri

Answer:

y-24=m(x--4)

Step-by-step explanation:

point slope form:

y-y₁=m(x-x₁)

1) find the slope or "m" first:

slope formula: (y2-y1)/(x2-x1)

(-53-24)/7+4

-77/11=-7

slope=-7

so

y-y₁=-7(x-x₁)

y1=24

x1=-4

y-24=m(x--4)

hope this helps!

rohiraakshay4

The required point slope equation of these two points is y -24 = -7 (x + 4)

Point slope equation:

The formula for point slope equation is [tex]y-y_1=m(x-x_1)[/tex]

where m is called slope of the line and can be found as

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

and [tex](x_1,y_1)[/tex] is the given first point

How to find point slope equation?

Here we have given that

[tex](x_1,y_1)=(-4, 24)[/tex]

[tex](x_2,y_2)=(7, -53)[/tex]

therefore

m = [tex]\frac{-53-24}{7+4} = -\frac{77}{11}= -7[/tex]

So the required equation is

y - 24 = -7 (x +4)

This is the final answer.

Learn more about point slope equation here

https://brainly.com/question/1884491

$SPJ2

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