Explain how to graph -6y = -2x + 24 using slope and the y intercept. *
1 answer:
Hello!
Slope intercept form is y = mx + b
m is the slope
b is the y-intercept
To turn the equation into the base form we have to get y by itself
-6y = -2x + 24
Divide both sides by -6
Simplify
To get the y-intercept we put 0 in for the x point and b for the y point
The y-intercept is (0, -4)
The slope is 1/3 which means every time x goes up by 3 the y goes up by 1
Other points are (3, -3) (6, -2) and (9, -1)
With 3 or more points we can plot a graph
Hope this Helps!
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<h3><em><u>Question:</u></em></h3>
Lyla is shopping for school supplies. She has $20.00 to spend. She
plans to buy a package of pens for $4.98. She also wants to buy a
calculator. All calculators are being sold for 30 percent less than the
original price. write an inequality that can be used to find the original price, x, of a calculator lyla can buy.
<h3><em><u>Answer:</u></em></h3> inequality that can be used to find the original price, x, of a calculator lyla can buy
Given that,
Lyla has $ 20 to spend
So she can spend entire $ 20 or less than $ 20
Total amount she has = $ 20
She plans to buy a package of pens for $4.98
Cost of package of pens = $ 4.98
She also wants to buy a calculator
Let "x" be the original price of calculator
All calculators are being sold for 30 percent less than the original price
Selling price of calculator = original price - 30 % of original price
Selling price of calculator = x - 30 % of x = x - 0.3x = 0.7x
Selling price of calculator = 0.7x
<em><u>Thus a inequality can be framed as:</u></em>
Cost of package of pens + Selling price of calculator 20
This means that, combined cost of package of pen and selling price of calculator must be less than or equal to the amount with Lyla ( 20 $ )
Thus the inequality is found