Answer:
y = -1/2x -3
Step-by-step explanation:
The steps to solve this include finding the slope of the line and finding the point where the line crosses the y axis.
Slope is Rise over Run or difference of the y values over the difference of the x values.
Rise = difference between -6 and -2 = 4
Run = difference between 6 and -2 = 8
So slope is 4/8. The line slants downward from left to right so the slope is also negative. Slope = - 4/8 or simplified to - 1 / 2
To find the y intercept, use the slope-intercept form equation:
y = mx + b where m is your slope and b is the y intercept. Solve for b and use one or both of your points that you were given along with your slope.
-6 = -1/2(6) + b OR -2 = -1/2(-2) + b
-6 = - 3 + b -2 = 1 + b
-3 = b -3 = b
Now you can use your calculated slope and calculated b to form your equation.
y = mx + b
y = - 1/2x -3
The number of 1/3 cm-cubes that would fill the rectangular prism is approximately 20 cubes.
<h3>What is the Volume of a Cube?</h3>
Volume = a³, where a is the side length.
<h3>What is the Volume of a Rectangular Prism?</h3>
Volume = lwh
Given the following:
- a = ⅓ cm
- l = 4/2 cm = 1/2 cm
- w = 2/2 cm = 1 cm
- h = 3/2 cm
Volume of the rectangular prism = (1/2)(1)(3/2)
Volume of the rectangular prism = (1/2)(1)(3/2) = 0.75 cm³
Volume of the cube = (⅓)³ = 0.037 cm³
Number of cubes that would fill the prism = 0.75/0.037 ≈ 20 cubes.
Learn more about the volume of cube on:
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Answer:
m > 5 or m < -19
Step-by-step explanation:
We are given the Inequality:

First, add both sides by 4.

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Given a = any expressions and b = any positive numbers, zero or any expressions.

From the Inequality, change > to equal

Subtract 7 both sides.

±12-7 can be 12-7 = 5 or -12-7 = -19

Refer to the attachment. The region is when the absolute value function is greater than constant function y = 12 or a blue horizontal line.
Since the absolute graph is above constant graph when x > 5 and x <-19.
Therefore,

Answer:
The variable that represent the slope is 'm' and the variable that represent the y-intercept is 'b'.
Step-by-step explanation:
The equation of a line in slope-intercept form is given as:

Here, the variable 'm' is the coefficient of independent variable 'x' and represents the slope of the line.
The constant term in the given equation is 'b' and it represents the y-intercept of the given line.
Slope is defined as the ratio of rise or fall over run. In other words, slope is the ratio of change in value of 'y' with change in value of 'x'.
Slope is positive if change in 'y' is positive with increasing 'x' and it is negative if change in 'y' is negative with increasing 'x'.
y-intercept is the point where the line crosses the y-axis. So, the 'y' value of that point is y-intercept. The coordinates of the point is given as (0, b).
So, the variable used for the slope is 'm' and 'b' is used for y-intercept.