What is the slope of the line represented by the equation y = -x - 3?

-1

Step-by-step explanation:

y=mx+b

m=slope

The slope is -1

The slope of the line represented by the equation y = -x-3 is -1

Solution:

The slope - intercept form equation of line is given as

y = mx + c --- eqn 1

Where m is the slope of the line. The coefficient of “x” is the value of slope of the line.

B is the y – intercept which is the value of y at the point where the line crosses the y-axis

From question, given that y = -x – 3

Comparing the given equation y = -x – 3 with equation 1, we get  

m = -1 and c = -3

Hence the slope of the line represented by equation y = -x-3 is -1

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).