The y-intercept of the graph of 12x + 2y = 18 in the xy-plane is (0, y). What is the value of y? SAT Math Test

The y-intercept of the graph of 12x + 2y = 18 in the xy-plane is (0, y). What is the value of y?

Answer

We have to solve the equation for y. To solve the linear equation of 12x + 2y = 18, we need to substitute (x, y) coordinates from a point that falls on the line.

Given:

(0, y) is a point on the line.

Therefore, x=0 and y is unknown

Let’s add this to the equation 12x + 2y = 18

12(0) + 2y = 18

0 + 2y = 18

2y = 18

Divide both sides by 2 and we get

y = 18/2

y = 9


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