Aline passes through the point (4, –6) and has a slope of negative three-fourths. which is the equation of the line?
a y = negative three-fourths x minus 3
b y = negative three-fourths x minus 6
c y = negative 3 x minus three-fourths
d y = negative 6 x minus three-fourths

Option A

The equation of line is

Solution:

Given that line passes through the point (4, –6) and has a slope of Negative three-fourths

Given point is (x, y) = (4, -6)

The equation of line passing through point (x, y) and slope "m" is given as:

y = mx + c ----- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Substitute (x, y) = (4, -6) and in eqn 1

The required equation of line is given as:

Thus the equation of line is found

the answer is A

Step-by-step explanation:

Hope this helps!

The Building B is taller than Building A and by 16.354 feet ≈16 feet.

Step-by-step explanation:

Kayson is looking at building A at an angle of elevation of 73° and building A is 30 feet away from him.

So, if the height of the building A is x feet, then we can write,  

tan 73°=x/30, ⇒x =30 tan73° =98.125 feet.

Again, Kayson is looking at building B at an angle of elevation of 73° and building B is 35 feet away from him.

So, if the height of the building B is y feet, then we can write,

tan 73° =y/35, ⇒ y= 35 tan73° = 114.479 feet.

Therefore, Building B is taller than Building A and by (114.479-98.125) =16.354 feet ≈16 feet. (Answer)