The first step is to find the slope. Use the slope formula
m = (y2-y1)/(x2-x1)
The two points are (x1,y1) = (-1,5) and (x2,y2) = (2,-1)
So,
x1 = -1
y1 = 5
and
x2 = 2
y2 = -1
will be plugged into the slope formula to get...
m = (y2-y1)/(x2-x1)
m = (-1-5)/(2-(-1))
m = (-1-5)/(2+1)
m = (-6)/(3)
m = -2
The slope is -2
Use m = -2 and one of the points to find the y intercept b. I'll use the point (x,y) = (-1,5) ---> x = -1, y = 5
y = mx+b ... slope intercept form
5 = -2*(-1)+b
5 = 2+b
5-2 = 2+b-2
3 = b
b = 3
The y intercept is 3
-----------------------------------
m = -2 is the slope
b = 3 is the y intercept
Therefore y = mx+b turns into y = -2x+3 as the equation that goes through the two points
Lila jumped 5 feet.
8 1/3-2 2/3=5 feet
Answer: 7.938 kilometers
Many conversion factors are difficult to remember. Feet to meters would fall into this category. An alternate method to perform this conversion is to use multiple easily remembered steps.
1 foot = 12 inches
1 inch = 2.54 centimeters
100 centimeters = 1 meter
Using these steps we can express a distance in meters from feet as:
distance in m = (distance in ft) x (12 in/1 ft) x (2.54 cm/1 in) x (1 m/100 cm)
distance in m = (distance in ft) x 0.3048 m/ft
Note this gives the same conversion factor as above. The only thing to watch out for is for the intermediate units to cancel out.