14. (01.04) On the graph of the equation 3x + 2y = 18, what is the value of the y-intercept?
-9
-6
6
9

9

Step-by-step explanation:

In slope-intercept form of linear equation y = mx + b , value of "b" is y-intercept.

Let solve 3x + 2y = 18 for "y"

2y = - 3x + 18

y = x + 9 ⇒ 9 is y-intercept.

===========

There is another way to solve this kind of problems:

Coordinates of y-intercept are (0, y) .

3(0) + 2y = 18

2y = 18

y = 9

(0, 9)  

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!