The fraction 8/21 cannot be simplified because the numerator and denominator don't have a common factor except 1.
Answer:
Line "L" has the slope of 1 and line "K" has the slope of 2.
In order to graph a line with the slope of
think of the numerator as the "rise" (how much you move up/down on the y-intercept) and the denominator as the "run" (how much you move to the side on the x-intercept)
Step-by-step explanation:
A slope of "1" is simply
so you rise up one and move to the right once. This clearly demonstrated on line "L".
A slope of "2" is
so you rise up two and move to the right once, as is demonstrated on line "K".
For the 2nd question, line "A" will have a slope of
therefore it will move up once and then to the side three times. It will look like the image attached to this answer.
I hope this helped! Feel free to ask questions if needed!
y=mx+b is the equation of a line;
m=slope , b= y-intercept
You can find the slope with this following equation: (y(2)-y(1))/(x(2)-x(1))
In this case the points are (0,4) and (-2,-3). The first set being (0,4) and the second (-2,-3). This means (0,4) can be expressed as (x(1),y(1)) and (-2,-3) expressed as (x(2),y(2)). Plugging these numbers into the slope equation gives us: (-3-4)/(-2-0) = -7/-2 = 7/2.
m= 7/2 ; so we have : y= (7/2)x+b
We are give a set of points which it passes through, we can simply plug them in:
4 = (7/2)(0)+b (0 is the x and 4 is the y)
We get 4 = 0 +b .... 4=b
our final equation is : y=(7/2)x+4
The answer would b C. 1,208 ft2
A.) y= 5/4x+16
B.) 1.25 hours a day