Question

Transform a point-slope form to slope-intercept form using a calculator.

A) y - y1 = m(x - x1)
B) y = mx + b
C) y = (x - x1) / m + y1
D) y = x + m

Answer 1

To transform a point-slope form equation to slope-intercept form, you add y1 to both sides, distribute the slope m, and combine mx1 with y1 to find the y-intercept b, resulting in y = mx + b.

Step-by-step explanation:

The question asks how to transform a point-slope form equation into a slope-intercept form without using a calculator. Considering the given point-slope form equation y - y1 = m(x - x1), we need to solve for y to express it in slope-intercept form which is y = mx + b.

Here are the steps to do this transformation:

1. Add y1 to both sides of the point-slope equation to isolate y on the left side:
2. y = m(x - x1) + y1
3. Distribute the slope m across the (x - x1) term:
4. y = mx - mx1 + y1
5. Combine mx1 with y1 to find the y-intercept b:
6. y = mx + b where b = y1 - mx1

This results in the slope-intercept form of the equation, which displays the slope m and the y-intercept b directly.