Answer:
slope = -5/1
y-intercept = (0, -34)
Step-by-step explanation:
slope m = change in y ÷ change in x
= (-9 - -4) ÷ (-5 - -6)
= -5 ÷ 1
= -5/1
y = mx + b ⇒ y = -5x + b
substitute one of the points
-4 = (-5 x -6) + b
-4 = 30 + b
b = -34
Therefore, y-intercept = (0, -34)
Step-by-step explanation:
the systems have no solution
the lines are parallel each other
graph as attached
The answer is -1 7/8 in lowest terms.
Answer:
35 cones
Step-by-step explanation:
21 x $2.50
=52.5
52.5/$1.50
= 35 small cones he can buy
Let p be the prize of a pen and m the prize of a mechanical pencils. If you buy six pens and one mechanical pencil, you spend 6p+m. We know that this equals 9, because you get 1$ change from a 10$ bill.
Similarly, if you buy four pens and two mechanical pencils, you spend 4p+2m, which is 8$, because now you get a $2 change. Put these equation together in a system:

Now, if you multiply the first equation by 2, the system becomes

Subtract the second equation from the first:

Plug this value into the first equation to get
