Final answer:
The y-intercept of the line given by the equation y = -5x + 3y = -60 can be found by simplifying the equation to y = -2.5x - 30, which reveals that the y-intercept is -30.
Step-by-step explanation:
To find the y-intercept of the line described by the equation y = -5x + 3y = -60, we first need to simplify this equation into the standard form y = mx + b, where m is the slope and b is the y-intercept. To do this, we combine like terms. Since there is a '3y' on one side and a 'y' on the other, we can subtract 'y' from both sides to give us 2y = -5x - 60.
Next, we divide both sides by 2 to solve for y, yielding y = -2.5x - 30. Now that we have the equation in the standard form, we can easily identify the y-intercept by looking at the value of b. In this case, b is -30.
To confirm this, we can solve for y by substituting 0 for x, which gives us y = -2.5(0) - 30, simplifying to y = -30. Therefore, the y-intercept of the line is the point (0, -30).