A line passes through point (-8,-6) and has a slope of
1 answer:
You might be interested in
Answer:
Zack sold 32 bags of popcorn last Saturday, and 64 bags of popcorn today.
Step-by-step explanation:
Start by determining what information the question gives us, and what we need to find.
Given:
Zack sold <em>twice</em> as many bags of popcorn as he sold last Saturday
He sold <em>96 bags</em> altogether in the 2 days
Find:
s, number of bags he sold last Saturday
t, number of bags he sold today
Equation/System of Equations:
(OR "number of bags he sold today = number of bags he sold last Saturday multiplied by 2, or twice the amount he sold last Saturday)
(OR "number of bags he sold today + number of bags he sold last Saturday is equivalent to the amount of bag he sold altogether which is 96 bags as given by the question)
Solve:
We can solve this system of equations using substitution. In this case, we can substitute "2s" for "t" into the second equation giving us...
Divide both sides by 3. Notice that the Division Property of Equality states that if you divide on side of the equation by something, you must divide the other side by the same quantity.
Substitute 32 in for "s" to solve for "t"...
Answer:
Zack sold 32 bags of popcorn last Saturday, and 64 bags of popcorn today.
Answer:
1.) Slope = -1.5
2.) y-Intercept = 11.5
3.) y = -1.5x+ 11.5
Step-by-step explanation:
1.) Slope
Every time x decreases by two units, y increases by three units.
Slope = m = Δy/Δx = 3/(-2) = -1.5
2.) y-intercept
The y-intercept (b) is the value of y when x = 0.
When x = -1, y = 13.
If we increase x by 1 unit, x will equal 0.
The slope tells us that when x increases by 1 unit, y decreases by 1.5 units.
y = 13 - 1.5 = 11.5
The y-intercept is at y = 11.5.
3.) Equation
The equation for a straight line is
y = mx + b
m = -1.5 and b = 11.5, so
y= -1.5 x + 11.5
The figure below shows your points and the graph of y = -1.5x + 11.5, with a y-intercept at x = 0, y = 11.5.
