Question

Find the y-intercept and the slope of the line.
3x-y=1
Write your answers in simplest form.

Answer 1

To find the y-intercept and slope of the line 3x - y = 1, we need to rewrite the equation in slope-intercept form, y = mx+b, where m represents the slope and b represents the y-intercept.

To do this, we need to isolate y on one side of the equation:

3x - y = 1

First, let's subtract 3x from both sides:

3x - y - 3x = 1 - 3x

This simplifies to:

-y = -3x + 1

Next, let's multiply both sides by -1 to get y positive:

-y(-1) = -3x + 1(-1)

This simplifies to:

y = 3x - 1

Now that we have rewritten the equation in slope-intercept form, we can see that the slope, represented by m, is 3, and the y-intercept, represented by b, is -1.

Therefore, the slope of the line is 3, and the y-intercept is -1.