Answer:
y = -3x - 6
Step-by-step explanation:
first, find the slope
(-4, 6)
(1, -9)
remember the equation for the slope

insert given points

((-9) - (6)) / ((1) - (-4))
simplify
( -9 - 6) / (1 + 4)
= -15/ 5
= -3
now insert it into the equation of the line
remember, the equation of the line is
y = mx + b
where "m" is the slope
and "b" is the y-intercept
to find "b", you just have to plug in a point that is found on the line
we know that (-4, 6) and (1. -9) is found on the line, so let's just use (-4, 6) for this problem
y = mx + b
substitute in the slope of this line
y = -3x + b
now substitute in the given points
6 = -3 * -4 + b
and solve it like any algebra problem, by inverse operations and simplifying
6 = 12 + b
-12 -12
-6 = b
so the equation of the line is
y = -3x -6
Answer:
x=8
Step-by-step explanation:
4.6x-9.3=27.5
+9.3 +9.3
-------------------------
4.6x=35.8
4.6x/4.6 35.8/4.6
x=8
-4 x 9 - (-10)
= - 45 + 10
= - (45 - 10)
= - 35
Rule: Negative times positive is negative; Negative times negative is positive
Answer: 4 pizzas
Step-by-step explanation:
There are to be 12 people at the party.
Each person is expected to take 1/3 of a pizza.
The total number of pizza needed is therefore:
= No. of people * quantity of pizza
= 12 * 1/3
= 4 pizzas
<em>Note: Answer would be 6 if each guest wanted 1/2 of a pizza. </em>
Answer:
y=4.5
Step-by-step explanation:
2y+3=11
2y=11-3
2y=9
y= 4.5