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.