What is the value of a, if the graphs of 3y + x = 0 and 4y + ax + 3 = 0 are to meet at a right angle?

a = -12

Step-by-step explanation:

For two lines to meet at a right angle, they are perpendicular to each other. Therefore the product of the slopes of the two lines is -1.

The slope of 3y + x = 0 will be -1/3 (rearrange the terms, 3y = -x and therefore y = -1/3 x).

The slope of 4y + ax + 3 = 0 will be -a/4. (4y = -ax - 3, therefore y = -a/4 x - 3/4)

Since the product of the slopes is -1, we can set up an equation now.

-1/3 * -a/4 = -1

a/12 = -1

a = -12

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490

answer: options

step-by-step explanation: