A line’s equation is given in point-slope form:

y−13=5(x−3)

This line’s slope is

.

A point on this line that is apparent from the given equation is

Respuesta :

Answer:

Slope: 5

Point:  [tex](3,13)[/tex]

Step-by-step explanation:

We have been given that a line's equation is point-slope form [tex]y-13=5(x-3)[/tex]. We are asked to find the slope of the line and a point on this line that is apparent from the given equation.

We know that point-slope form of an equation is in form [tex](y-y_1)=m(x-x_1)[/tex], where

m = Slope of line,

[tex](x_1,y_1)[/tex] = Coordinates of points the is on the line.

Upon looking at our given equation, we can see that [tex]m=5[/tex], therefore, the slope of the line is 5.

We can also see that [tex]x_1=3\text{ and }y_1=13[/tex], therefore, point [tex](3,13)[/tex] is one the given line that is apparent from the given equation.

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