Question

In your words, explain how you would convert a point-slope equation to slope-intercept form. Create your own point-slope equation and explain the steps to convert it to slope-intercept form.

Answer 1

To convert a point-slope equation to slope-intercept form, you need to isolate the y variable and rearrange the equation.

Step-by-step explanation:

To convert a point-slope equation to slope-intercept form, you need to rearrange the equation to isolate the y variable on one side.

Here's an example:

Point-slope equation: y - y1 = m(x - x1)

Slope-intercept form: y = mx + b

To convert, you first distribute the m:

y - y1 = mx - mx1

Then, move the y1 term to the other side:

y = mx + (y1 - mx1)

The constant term (y1 - mx1) is the y-intercept, and the coefficient of x (m) is the slope.