Answer:
2,-1
Step-by-step explanation:
first come the x axis and the y axis
Answer:
6p*6p
Step-by-step explanation:
Given:
The graph passes through the points (0,-20) and (4,10).
To find:
The equation of line that most closely represents the line depicted in the graph.
Solution:
If a line passing through two points, then the equation of line is

The given line passes through the points (0,-20) and (4,10). So, the equation of line is




Subtracting 20 from both sides, we get

The function form is

f of x equals fifteen halves times x minus 20.
Therefore, the correct option is B.
Answer:

Step-by-step explanation:
We are given;
- A point (6, -4)
- An equation of a line, 9x - 3y = 9
We are required to determine the equation a line passing through a point (6, -4) and perpendicular to the given line;
- To answer the question we need to get the gradient of the given line first.
- We write the equation 9x - 3y = 9 in the form of y = mx + c, where m is the slope;
y = 3x -3
- Thus, the slope of the line is 3
But; m₁ × m₂ = -1 (For perpendicular lines)
Therefore;
m₂ = -1 ÷ 3
= -1/3
Therefore, the slope of the line in question is -1/3 and the line passes through (6, -4).
To get its equation, we get another point (x, y)
Then;

Thus;

In the form of slope-intercept, the equation will be;

Thus, the equation of the line is;

Answer:
a. (92.4, 94.8)
Step-by-step explanation:
Given that:
Mean (m) = 93.6
Standard deviation (σ) = 4.2
Sample size (n) = 34
α = 90%
Confidence interval around sample mean :
Mean ± Zstatistic * s/√n
Z0.90 = 1.645 (Z probability calculator)
s / √n = 4.2 / √34 = 0.7202940
Lower limit = 93.6 - (1.645 * 0.7202940) = 92.41511637 = 92.4
Upper limit = 93.6 + (1.645 * 0.7202940) = 94.78488363 = 94.8