Writing Linear Equations
Amanda is baking cookies, She already has 5 chocolate chips and adds more to the batter. Let X represent the number of chips she adds, and y represent the total amount, Write an equation to show how many Amanda would have.
y=x+5
What variable is the slope?
M
What do B, and m represent in Y-Intercept Form?
The y-intercept and slope
Perpendicular lines are always what?
90o
Why do vertical lines curve, bend, or cross?
Vertical lines are straight.
Maya charges $0.50 per cup of lemonade and sells x cups. Let y represent her total earnings. Write an equation showing how much money Maya will make.
y=0.5x
Two points are in a straight line, If the second point is higher than the first, which direction is the slope(negative/positive)
Positive
What can the variable B tell us about a line?
Where the point crosses the Y-axis
Can parallel lines touch?
Never.
Horizontal lines cross what axis?
The Y-axis.
Omar travels on his bike; x hours at a constant speed of 15 mph. Let x represent the distance Omar travels
y=15x
The slope of a horizontal line is what?
0
Does the Y-intercept form even change or rearrange?
No, Slope-intercept always stay the same.
Two equations have the same slope but different y-intercepts. Will it be perpendicular or parallel?
Parallel
How do Vertical and Horizontal lines differ from slopes of normal linear equations?
Linear equations are slanted, allowing them to have a slope/(rise/run). Vertical and horizontal don't contain a slope(theirs equals zero). Hence, the difference between the three lines.
A bakery sells cupcakes for $2.25 each, and muffins for $1.75 each, making a total of $37.50. Write an equation to represent the number of muffins sold. (x=cupcakes sold, y=number of muffins)
2.25x + 1.75y = 37.50
When graphing a line, what direction would the line be if the Rise/Run is negative?
A negative.
If a line crosses the point; (1,4), and the slope of 3, What would be the Y-intercept?
One.
The equations: Y=3x-4, and Y=3x+45. Are these two parallel?
Yes.
The equation: y=99x+1 is a Horizontal line.
Is this statement true or false?
False, the equation is vertical.
At a garage sale, Emily buys a collection of old books for $2 each and an x amount of vintage records. Write an equation to show how much Emily paid. (Let x represent the amount of vintage records, and y represent the amount of Emily paid.)
y=2+x
Is the Rise/Run always positive or negative?
Neither(it depends on the lines itself)
What's the value of B if y= -2
Negative two.
Does: Y= 2x+1 and Y= (-1/2x + 7), have a 90o angle?
Yes.
Free Points
Deduction of points.
(nothing's free around here partner)