Question

Are the lines y=-x-6y=−x−6 and 5x+5y=105x+5y=10 perpendicular? Explain your answer using words, numbers, and/or symbols.

Answer 1

Answer:

yes ,

we will compare the equations with

y = mx + c

to find the slopes

Step-by-step explanation:

slope of equation y = x-6

m1 = 1

slope of equation 5x + 5y = 10

5y = -5x + 10

y = -x + 2

m2 = -1

then, the condition for perpendicular of two lines is

m1 × m2 = -1

then,

putting the values of m1 and m2 from above

we get

1 × (-1) => -1

so the product of two slopes is -1

then these two lines are perpendicular.

Are you satisfied ?