Respuesta :

Finding the slope using two points:

The formula for slope is

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

In this case...

[tex]y_{2} =3\\y_{1} =3\\x_{2} =5\\x_{1} =-4[/tex]

^^^Plug these numbers into the formula for slope...

[tex]\frac{3-3}{5 - (-4)}[/tex]

[tex]\frac{0}{9}[/tex]

0

^^^This is your slope

If your slope is zero that means that the graph will be horizontal

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

The slope is 0 and it's undefined.

Step-by-step explanation:

To find the slope, first you have to solve these problems from left to right. Then, you'd use the slope formula of [tex]\Rightarrow \displaystyle \frac{y_2-y_1}{x_2-x_1}=\frac{rise}{run}[/tex].

[tex]\displaystyle y_2=3\\\\\displaystyle y_1=3\\\\\displaystyle x_2=5\\\\\displaystyle x_1=(-4)\\[/tex]

Next, you had to solve.

[tex]\displaystyle\frac{3-3}{5-(-4)}=\frac{0}{9}=\large\boxed{0}[/tex]

As a result, the slope of the line through (-4,3) and (5,3) is undefined.

I hope this helps you!

Have a wonderful blessing day!

Good Luck!