Answer:
x=4.5
Step-by-step explanation:
Given the equation
, we simplify as:

#We further simplify as multiples of 9(divide by 9 to solve for x):

Hence, from our simplification the equation has the same value as x=4.5
8z +3 - 2z < 51
6z + 3 < 51
-3. -3
6z < 48
-- ---
6. 6
z<8
Slope of a line can be determined using this formula
m = (y₂ - y₁) / (x₂ - x₁)
From the question, we know that
(x₁,y₁) = (2,-3)
(x₂,y₂) = (2,9)
plug the numbers into the formula
m = (y₂ - y₁) / (x₂ - x₁)
m = (9 - (-3)) / (2 - 2)
m = (9 + 3) / (2 - 2)
m = 12/0
m = undefined
The pairs must form a vertical line
The endpoints are the points which represent or marks the end of a line segment or an interval. So, the endpoints would be the same points given which are ( 5/3, 1 ) and ( 0, 2). The midpoint, on the other hand, is the point that is located halfway through the line segment or the interval. It divides the segment into two parts with equal lengths. We calculate it by the formula,
midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
We substitute the points given above to the formula as follows:
midpoint = ((5/3 + 0) / 2, (1 + 2) / 2)
midpoint = 5/6 , 3/2
So, the midpoint is located at point 5/6, 3/2.