Which of the following equations represents a line with a negative slope and a negative y-intercept?

select one:
a. 3x+2y=−9
b. x−y=−3
c. y=4x−6
d. y=−5x+8

A.

Step-by-step explanation:

The standard form of a line in slope-intercept form is:

Where, is the slope and is the y-intercept.

Now, let us convert each option in this form.

Option A:

Therefore, slope is and y intercept is .

Both slope and y intercept are negative. So, option A is correct.

Option B:

Slope is 1 and y intercept is 3. Both are positive. So, option B is incorrect.

Option C:

Slope is 4 and y intercept is -6. Both are not negative. So, option C is incorrect.

Option D:

Slope is -5 and y intercept is 8. Both are not negative. So, option D is incorrect.

step-by-step explanation:

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.