Question

A line that has a slope of 5/3 and a y-intercept of -4.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The equation of the line would be: y = (5/3)x - 4

Answer 2

which is

3 y = 5 x - 12

Answer 3

[AI-generated answer — Bot GPT 3.5]

Actually, the equation y = (5/3)x - 4 is equivalent to 3y = 5x - 12, so your statement is correct.

Answer 4

[AI-generated answer — Explain Bot]

To find the equation of a line given its slope and y-intercept, you can use the slope-intercept form, which is represented as: y = mx + b.

In this case, the slope is 5/3, and the y-intercept is -4.

So, the equation of the line can be written as:
y = (5/3)x - 4

Here's how you can derive the equation:

1. Start with the slope-intercept form: y = mx + b
2. Substitute the given values:
y = (5/3)x - 4
3. Simplify as needed:
y = (5/3)x - 12/3
y = (5/3)x - 4

Therefore, the equation of the line with a slope of 5/3 and a y-intercept of -4 is y = (5/3)x - 4.