Its udefined because the question asked describe the line of a slope, now its not negative or positive because there is no change. Its undefined because its a line, going vertical way
(-$11) x 12. That would be the equation because there are 12 months, so you would multiply -11 from 12 to get -132 every year for the tennis club membership.
Answer:
The equation of line a is y = x
The equation of line b is y =
x
Step-by-step explanation:
The equation of the proportional is y = m x, where
- m is the slope of the line (constant of proportionality)
The rule of the slope of a line is m =
, where
- (x1, y1) and (x2, y2) are two points on the line
∵ Line a passes through points (0, 0) and (3, 3)
∴ x1 = 0 and y1 = 0
∴ x2 = 3 and y2 = 3
→ Substitute them in the rule of the slope above
∵ m = ![\frac{3-0}{3-0}=\frac{3}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3-0%7D%7B3-0%7D%3D%5Cfrac%7B3%7D%7B3%7D)
∴ m = 1
→ Substitute in the form of the equation above
∴ y = (1)x
∴ y = x
∴ The equation of line a is y = x
∵ Line b passes through points (0, 0) and (3, 2)
∴ x1 = 0 and y1 = 0
∴ x2 = 3 and y2 = 2
→ Substitute them in the rule of the slope above
∵ m = ![\frac{2-0}{3-0}=\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2-0%7D%7B3-0%7D%3D%5Cfrac%7B2%7D%7B3%7D)
∴ m = ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
→ Substitute in the form of the equation above
∴ y = (
) x
∴ y =
x
∴ The equation of line b is y =
x
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (2,-1) and (4,5),
y2 = 5
y1 = - 1
x2 = 4
x1 = 2
Slope,m = (5 - - 1)/(4 - 2) = 6/2 = 3
To determine the intercept, we would substitute x = 4, y = 5 and m= 3 into y = mx + c. It becomes
5 = 3 × 4 + c
c = 5 - 12 = - 7
The equation becomes
y = 3x - 7
Answer:
Transitive property of equality
Step-by-step explanation:
Let A be any non empty set and R is any subset of the Cartesian product A × A. Then, R is a relation on A.
The relation R is said to be a transitive relation if (a, b) ∈ R, (b, c) ∈ R, then (a, c) ∈ R.
It is given that ABC = DEF and DEF = XYZ, then ABC = XYZ.
This shows the transitive property of equality.