Need help graphing two points

Question

graph the line with slope -5 and passing through (5,4)

Answer 1

If slope is negative, line is going down.
On the coordinate plane plot the dot (5, 4), then move your pencil one unit to the right and five units down, you will get the point (6, - 1) , then connect two dots. You will see the line with slope "- 5".

Answer 2

Hi Danni;

You will begin with the given point of (5,4), then your change of y, also known as rise, will be 5 up, and your change of x, also known as run, will be 1 to the left.

 

Let me explain this a different way.

Let's establish the y-intercept, the value of y when x=0.

Let's use the point-slope formula...

y-y₁=m(x-x₁)

m=slope

y-4=-5(x-5)

y-4=-5x+25

Let's add 4 to both sides...

y-4+4=-5x+25+4

y=-5x+29

Another point on this graph is (0,29)

This line passes the y-axis at y=29.

 

It also passes through the given point (5,4).