PLZ HELP Find the equation of the graphed line.
On a coordinate plane, a line goes through (0, 5) and (2, 0).
a.
y = negative 2 x + 5
c.
y = 2 x + 5
b.
y = negative two-fifths x + 2
d.
y = negative five-halves x + 5

d. -5/2x + 5 (negative five-halves x + 5)

Step-by-step explanation:

In order to find the equation for the line that passes through these points, you must identify the slope and y-intercept. You can find the slope by finding the change in y divided by the change in x:

using (0, 5) and (2, 0),

change in y = 5

change in x = -2

(change in y)/(change in x) = -5/2

So, the slope is -5/2. You don't need to calculate the y-intercept since one of the points already is the y-intercept; when x is 0, y is 5, so the y-intercept is 5. Now, you can write your equation:

using y = mx + b, where m = slope and b = y-intercept,

y = -5/2x + 5

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).

answer: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

step-by-step explanation: