What is an equation of the line that passes through the point (4,-1) and has a slope of -2?
1 answer:
Answer:
Option C,
Step-by-step explanation:
1) Slope-intercept format is represented by the formula . By looking at the options, we can see that all of them follow this format.
So, first, we can identify which equations have a slope of -2 to narrow down our options. In slope-intercept form, the coefficient of the x-term, or , represents the slope. So, this narrows the answer down to options b and c because they are the only ones that have
as -2.
2) Next, in order to find which equation is the right answer, we can substitute the x and y values of the given point (4, -1) into both equations, then simplify. Whichever equation results in a true statement must be the answer. Let's try option c first. Substitute 4 for x and -1 for y:
-1 does equal -1, so this statement is true. Thus, option c must be the answer.
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The area of a square and a rectangle is given by multiplying the lengths of the sides of the square
A. The correct statements are;
The area of one square tiles <u>9·x²</u>
The area of the floor is <u>36·x⁶</u>
B. The number of tiles needed to cover the floor <u>324 tiles</u>
<u />
The reason the above values are correct are as follows:
A. The given parameters are;
The expression that represents the side lengths of the square room = 6·x³ feet
The side lengths of the square tiles = 3·x
Required:
To select the correct expressions
Solution:
The area of one square tiles = 3·x × 3·x = 9·x²
The area of the floor = 6·x³ × 6·x³ = 36·x⁽³ ⁺ ³⁾ = 36·x⁶
B. If x = 3, we have;
The area of the floor, = 36×3⁶ = 26,244
The area of one tile = 9 × 3² = 81
The number of tiles needed to cover the floor = <u>324 tiles</u>
Learn more about multiplying side lengths to find area here: