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
Tewehshon does 2 math problems per minute. What linear equation represents this?
y = 2x
Vanessa has 3 more cats than Nehson.
x is the number of Vanessa's cats
y is the number of Nehson's cats
What is the equation?
x = y + 3
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
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)
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)
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)
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