Question

(9, -4); slope 2 over 3. What does y equal?

Option 1: -3
Option 2: -2
Option 3: -5
Option 4: 5

Answer 1

The value of y in the equation y = (2/3)x - 10 is -10.

Step-by-step explanation:

To find the value of y, we can use the equation y = mx + b, where m represents the slope and b represents the y-intercept. In this case, the given slope is 2/3 and the point (9, -4) is on the line.

Plugging these values into the equation, we get y = (2/3)x + b. Using the coordinates of the given point, we can solve for b. Substitute 9 for x and -4 for y, and we get -4 = (2/3)(9) + b. Simplifying the equation, we find that b = -4 - 18/3 = -10.

So, the equation of the line in slope-intercept form is y = (2/3)x - 10. Therefore, y is equal to -10.