I need help with part b and c

What is the equation of a line parallel to the x-axis that passes though the point (4,5)? What is the slope of this line

Svetlanka [38]

Slope of a line parallel to the x -axis is 0

y = 5 is the required equation of a line parallel to the x-axis that passes though the point (4,5)

<h3>Solution:</h3>

Given that a line parallel to the x-axis that passes though the point (4,5)

To find: slope of this line and equation of a line

The x -axis is a horizontal line with the equation y = 0 There are an infinite number of lines that are parallel to the x -axis, y = 0

All horizontal lines have slope of 0

If lines are parallel then they have the same slope. The slope of a line parallel to the x -axis is 0

The equation of a straight line parallel to x-axis at a distance b from it is y = b

Here "b" is the y - co-ordinate value

Here given point is (4, 5) so b = 5

The required equation is y = 5

<h3>Method 2:</h3>

We know slope "m" = 0

Given point is (4, 5)

The slope intercept form is given as:

y = mx + b --- eqn 1

Where "m" is the slope of line and "b" is the y - intercept

Substituting m = 0 and (x, y) = (4, 5)

5 = 0(4) + b

b = 5

Substitute b = 5 and m = 0 in eqn 1

y = 0 + 5

y = 5 is the required equation of a line parallel to the x-axis that passes though the point (4,5)

6 0

3 years ago

Goddesboi this one! what’s the answer? thanks ^^

xz_007 [3.2K]

Answer:

C) 20.97 AED

Step-by-step explanation:

To find the expected value, E(X), or mean μ of a discrete random variable X, simply multiply each value of the random variable by its probability and add the products. The formula is given as $\displaystyle E(X)=\mu=\sum xP(x)$ .

Here, x represents values of the random variable X, $P(x)$ represents the corresponding probability, and symbol $\displaystyle \sum$ represents the sum of all products $xP(x)$ . Here we use the symbol $\mu$ for the mean because it is a parameter. It represents the mean of a population.