1. Soap density background rectangle major grid lines axes linear regression line data points as circles Soap density volume (centimeters³) mass (grams) 0 10 20 30 40 50 60 70 80 90 100 0 10 20 30 40 50 60 70 80 90 100 The first graph plots data from a soap density measurement laboratory. The slope of the line is the density of the soap.
    1. __________ Calculate the slope of the line.
    2. ______________ Estimate the y-intercept of the line.
    3. y = _________ x + __________ Write the y = mx + b slope-intercept equation for the line.
    4. [float] or [sink] The slope of the line is the density of soap. If the density of the soap is less than one gram/centimeter³ then the soap would float. If the density of the soap is greater than one gram/centimeter³ then the soap would sink. Based on the above, will this soap float or sink?
  2. A student gathered the data seen in the table below. Plot the data on the graph. Graphical analysis
    Time
    (seconds)    		Distance
    (centimeters)
    00
    2400
    4800
    61200
    81600
    102000
    background rectangle major grid lines axes text layers Velocity of a RipStik Time (seconds) Distance (centimeters) x-axis labels 0 1 2 3 4 5 6 7 8 9 10 y-axis labels 0 200 400 600 800 1000 1200 1400 1600 1800 2000
    1. __________ Calculate the slope of the line.
    2. __________ Calculate the intercept of the line.
    3. __________ cm. How far will the RipStik travel in 23 seconds?
    4. __________ seconds. How long in seconds for the RipStik to travel 7500 centimeters?
  3. __________ What is the slope of the line y = 2.0 + 0.15x?
  4. __________ What is the y-intercept of the line y = 2.0 + 0.15x?
  5. _______________ What math class are you in? If you are not in math this term, what is the highest math class you took?

slope m= ( y2 − y1 ) ( x2 − x1 )
point-slope form: (y−y1) = m(x−x1)
momentum p = mass m × velocity ѵ