Question

Isosceles triangle LMN is graphed with vertices L(0, 1), M(3, 5), and N(6,1). What is the slope of side LN?

Answer 1

Answer:

0

Step-by-step explanation:

Hello

to find the slope  we must to know that the slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Let

m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\

L ⇒ P1 (0,1)  

$x_{1}=0 \\y_{1}=1$

N⇒ P2(6,1)

$x_{2}=6 \\y_{2}=1$

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\\\m=\frac{1-1 }{6-0 }\\m=\frac{0}{6} \\m=0$

m=0

which means that the line LN is horizontal

Have a great day

Answer 2

You would have to do the change in y over the change in x
1. 1-1/6-0
2. 0/6 and any time you divide zero by a number the answer is zero.