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Convert the equation into the form y = mx + b
4y = 8x + 4
y = 2x + 1
find the slope of a line given 2 points?
Plug them into the equation
y2 - y1/x2 - x1
In one night of babysitting, Sally makes $35 for 5 hours of work. What are the independent (x) and dependent (y) variables in this situation?
x: N. of hours
y: Money she makes
Tewehshon does 2 math problems per minute. What linear equation represents this?
y = 2x
Whatsi builds lawn furniture. She can make five chairs each week.
What is the relationship between the number of weeks and the number of chairs made?
how many weeks Whatsi would need to make 20 chairs.
y: N. of chairs
x: N. of weeks
y=5x
x=4
Convert the equation into the form y = mx + b
25x + 5y +10 = 0
y = -5x - 2
find the equation of the line given 2 points?
First find the slope using y2-y1/x2-x1
Then plug in the slope and one of the points in order to find b
Rewrite the equation with m and b
Toni sells memberships to her local gym. If she sells 20 memberships, she makes 100 dollars. What are the x and y variables in this situation?
x: N. of memberships
y: How much money she makes (total price)
If Tewehshon has already done 5 problems and then does 2 problems per minute, what equation represents this?
y = 2x + 5
Maya has 5 times more songs on her playlist than Wahtsi.
x is the number of Maya's songs
y is the number of Wahtsi's songs
What is the equation?
x = 5y
What is the slope of the line:
3y - 9x + 21 = 0
The slope is 3
find the x-intercept of a line when given its equation?
(Example: what is the x-intercept of y = 8x - 2 ?)
Plug in 0 for your y
Rearrange the equation to find x
Write the coordinates of the point (x, y)
If f(x) = 2x2 + 5, what is f(–2)
f(-2) = 13
Eva has $500 in her special bank account and she takes out $25 every week for a little treat. What equation represents this situation?
y = -25x + 500
At the bake sale, Aiden sells cookies for $4 each and brownies for $3 each. If Aiden made $39, write the equation to represent this.
4x + 3y = 39
What is the y-intercept of the line:
6y - 7x = 30
5
find the point of intersection of 2 lines?
Put them in the format y = mx + b
Make y = y and solve for x
Plug x into one of the equations to find y
Write your point (x, y)
If f(x) = –x2 – 3x + 1, what is f(–1)?
f(-1)= +4
Monica also has a special bank account with $750 in it. She starts taking out $50 per week. When will she run out of money?
In 15 weeks
A latte costs 2 times more than a regular coffee.
The total cost of 4 lattes and 3 regular coffees is $44.
What is the price of a regular coffee?
x = 2y
4x + 3y = 44
A regular coffee costs $4
What is the slope of the line perpendicular to:
10x + 8y - 2 = 0
0.8 or 4/5
find the slope of a line perpendicular to another one, when given its equation?
(Example: What is the slope of the line perpendicular to y = -2x +8 ?)
Determine the slope of the first line (-2)
Plug it into the equation -1/m1
(in this case -1/-2 = 0.5)
Julius is learning to play the guitar. Before he started, he did not know how to play any songs. Each week he learns three new songs.
Can we represent this using a linear equation?
What does x represent?
What does y represent?
yes
x: N. of weeks
y: N. of songs
Eva has $500 and spends $25 per week.
Monica has $750 and spends $50 per week.
Who runs out of money first?
Monica
A bag of chips costs $2 more than a chocolate bar.
The total cost of 8 bags of chips and 7 chocolate bars is $61.
What does 1 bag of chips and 1 chocolate bar cost?
x = y + 2
8x + 7y = 61
chips are $5, chocolate is $3