How do I graph (5,3),m=7

Question

(5,3), m=7

Answer 1

The problem gives a point (5,3) and the slope m=7.

 

Two points determine a line.  You have one already:  (5,3)

 

The second point can be found easily when you realize that slope is often called "rise over run" because it is the increase in y-values divided by the increase in x-values.  In this problem, there is a rise of 7 (that is, in y) for each run of 1 (that is, in x).

 

The second point is:  (5+1. 3+7)  or   (6,10).

 

Draw a line through the two points.

Answer 2

Before you graph, you need to determine the equation of the line.

 

Given the slope and a point, we should use the point-slope format of an equation of a line, which is

 

y - y₁ = m(x = x₁)

 

Your (x₁,y₁) is the given point (5,3)

And m is your slope = 7

 

So

y-3 = 7(x-5)

 

Let's distribute and rearrange the terms so that we have the equation of this line in the slope-intercept form (y=mx+b)

y = 7x-32

 

So, your graph will have a y-intercept at the point (0,-32) and have a slope of 7.  Recall that slope is rise over run.  So the line will go up 7 spaces and to the right 1 space.