Answer:
Y = 10/7X + 4
Y intercept = 4
Slope = 10/7
X intercept = -40/7
Step-by-step explanation:
Incase you are asked the equation of the line
The slope intercept equation is as follows -
(1)....Y = mx + b
where m - Slope
b - Y - intercept
the standard formula of slope which is commonly referred to as "the rate of change" is -
(2) .....m= Y2 - Y1 / X2 - X1
in this case you can refer to the final and initial X and Y values directly from the small points on the line.
and so(3)..... - X1 = -6 X2 = 6
- Y2 = 9 Y1 = -1
the y intercept is defined as the value we get whenever X id zero. and X has a value of zero when a line crosses the y axis.
thus, X = 0 & Y = 4 ( 0 , 4 )
now lets substitute our values(3) into the slope formula (equation 2)
m = 9 - - 1 / 6 - - 1 = 10/7
now that we found the line's slope, let's simply plug the y intercept
into the slope intercept formula (1)
Y = 10/7X + 4
Answer:
False
Step-by-step explanation:
It is false because the absolute value signs mean that |-3| is actually positive 3. Absolute values are always positive. So, now you have 3 is less than or equal to 0, which is false because 3 is greater than 0.
The volume of a rectangular prism is equal to length*width*height. In this case, we have V = 243 and H = 3.
243 = LW(3), so LW = 81, where L & W are whole numbers greater than 1. There are only 3 possible pairs of values for this: 27*3, 9*9, and 3*27 (we cannot use 1*81 or 81*1, since we need dimensions > 1).
Part A. This could be true if Length = 9 in and Width = 9 in, as 9*9 = 81.
Part B. The claim could be false if Length = 27 in and Width = 3 in, as 27*3 = 81, but 27 is not equal to 3.
*Note that the width cannot be longer than the length.
