Question

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

Answer 1

Answer:

Slope: 5

Point:  $(3,13)$

Step-by-step explanation:

We have been given that a line's equation is point-slope form $y-13=5(x-3)$. 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 $(y-y_1)=m(x-x_1)$, where

m = Slope of line,

$(x_1,y_1)$ = Coordinates of points the is on the line.

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

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