How many Solutions
How do you know when an equation has infinite solutions?
Both sides of the equal sign have the same variable term and number.
Determine the slope-intercept form of the line passing through the points (2, 4) and (4, 8).
y=2x
What part of a linear equation is the y-intercept?
The last number, in the place of "b"
Convert the equation 2x - 3y = 6 to slope-intercept form.
y=2x/3-2
Joe and Steve are saving money. Joe starts with $105 and saves $5 per week. Steve starts with $5 and saves $15 per week. After how many weeks do they have the same amount of money?
10 weeks (155)
How many solutions does 6x+8=6x+3 have? and Why?
No solution because 8 does not =3
What does slope (m) mean?
The slope of a line is the steepness of line.Rise over run.
How do you determine if the linear functions are parallel lines?
If the equations have the same slope.
What is the y-intercept of the line y = - 5x + 7?
c=7
What is the equation for the cost (y) of the SDFair if the entrance fee is $10 and each ride (x) is $4.
y=4x+10
Solve 2x+x-3=4x+8 How many solutions?
One solution. x = -11
What does the Y intercept represent?
The Y value when the X value is 0.
How do you know if it is a linear function by looking at a table of values?
The change in Y will grow or decrease at a constant rate.
What does the x intercept(s) represent?
The point at which at the graph of an equation crosses over the x axis
Kyle makes sandals at home. The sandal making tools cost $100 and he spends $10 on materials for each sandal. He sells each sandal for $30. How many sandals does he have to sell to break even
5 sandals($150)
Simplify -2x+4-3x-10+6x+3
1x-3
How can you find the Y intercept on a graph?
The point where the line touches the Y axis.
What is the equation for the bank account Stephan opened with $150 and deposits $40 per month?
y=40x+150
Determine the equation of the line with slope -4 that passes through the point (2, -1).
y = - 4x + 7
What is special about linear functions equations?
it always represents a straight line when graphed.
Does a linear function have a constant rate of change?
A Linear function does have a constant rate of change.
How do you find the equation of a linear function?
identify the slope and the y-intercept
Identify the y-intercept: y=8x-4 (point form)
y-intercept is (0,-4)
How do you write an equation for a linear function.
Y= mx+b
How are linear functions used in real life?
Figuring out income, overtime, calculation mileage, costs.