Question

Write the equation -3x - 5y = 30 in slope-intercept form by solving for y

Answer 1

To write -3x - 5y = 30 in slope-intercept form, we need to solve for y. The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. By solving for y and simplifying the equation, we get y = (3/5)x - 6.

Step-by-step explanation:

To write the equation -3x - 5y = 30 in slope-intercept form, we need to solve for y. The slope-intercept form of an equation is given by y = mx + b, where m represents the slope and b represents the y-intercept. Let's solve for y:

First, let's subtract -3x from both sides of the equation:

1. -3x - 3x - 5y = 30 - 3x
2. -5y = -3x + 30

Next, we divide the entire equation by -5 to isolate y:

1. ((-5y) / -5) = ((-3x + 30) / -5)
2. y = (-3x / -5) + (30 / -5)

Simplifying the equation gives us:

• y = (3/5)x - 6

Therefore, the equation -3x - 5y = 30 in slope-intercept form is y = (3/5)x - 6.

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