Draw a line that has a negative slope
Don't get this wrong
5(x - 1) = 3x + 7
x=6
3(x + 2) = 2x + 10
x=4
Y=mx+b
What does b stand for?
y intercept
y= mx+b
what does m stand for?
slope
2/3(9x+12)=68
x=10
If given a graph what is the simplest way to find the slope on a linear line.
right triangle method
what is the slope of a horizontal line?
1/2(12x-4)=4
x=1
What does a proportional line look like?
Linear, goes through the origin and has a constant ratios
-4(x + 3) = 2(2x - 1) + 8
x=-18/8
what is the slope of a vertical line?
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here are two coordinates: (12,6), (-5, 17) what is the slope?
-11/17=m
6(x - 2) = 4x + 10
x=11
slope is -2/3
y intercept is 2
When x is 12 what is the y value?
here are two coordinates: (111,-500), (-27, 1000) what is the slope?
m=-1500/138 or -250/23
Double points two part question
A) how many subscribers did I say I needed to have on my youtube channel for me to make a new video?
B) At what x value can you always find your y intercept?
A) 40
B) x=0
1/3(x+12)-4 = 4/3(x+3) +5
x=-9
y2-y1/x2-x1
when you want to get rid of fraction that is being multiplied to a variable you multiply by the ______
Reciprocal
A small business owner is selling handmade candles. The owner has a starting cost of $500 for supplies. Each candle is sold for $12, but the owner has to subtract $3 for shipping costs per candle. The owner wants to make a profit of at least $200. How many candles would he need to sell?
equation: 200=12x−500−3x or 200= 9x−500
He would need to sell at least 78 candles
5(x + 2) = 3(2x - 1) + 20
x=-7
A local library is hosting a book fair. The library spends $200 on setup and decorations. They also plan to sell each book for $8. The library wants to make at least $600 in total sales to cover expenses and make a profit. Create an equation and solve for the amount of books sold.
equation: 600=200+8x
x=100
The student council is planning a school event with a budget of $1000. The decorations cost $300, and the refreshments are $5 per person. Jordan needs to determine how many students can attend the event if the total budget is to be used efficiently.
equation should be $1000= $5x+$300
x= 140 students
3(2x - 4) + 5 = 2(x + 6) + 14
x=33/4