1. Warm Up -2(x - 1) -3(x + 5) 4(x - 2)
Simplify the following expressions by distributing:
-2(x - 1)
-3(x + 5)
4(x - 2)

2. Point slope Form To Slope Intercept Form
Unit 6 : Day 7
Point slope Form To Slope Intercept Form

3. You now know two types of linear equations!
Point Slope
y – y1 = m(x – x1)
Slope Intercept
y = mx + b

4. Here is an equation in point slope form:
y - 3 = 2(x - 5)
y - 3 = 2(x - 5)
I want this equation in slope intercept form!
How can we use algebra to write this equation in slope intercept form?

5. Steps for Converting Point Slope → Slope Intercept
Distribute the slope. y – y1 = m(x – x1)
Get y alone.

6. Example 1: Convert to Slope Intercept Form
y - 3 = 2(x - 5)
Distribute the slope.
Get y alone.

7. Example 2: Convert to Slope Intercept Form
y + 4 = -3(x - 2)

8. Example 3: Convert to Slope Intercept Form
You must write the equation first!
A line with slope -2 that passes through the point (5, -1).
Distribute the slope.
Get y alone.

9. Example 4: Convert to Slope Intercept Form
You must write the equation first!
A line with slope 5 that passes through the point (-2, -3).

10. Example 5: Convert to Slope Intercept Form
Choose a point on the graph and find the slope. Then write an equation in point slope form.
Then, convert to slope intercept form.

11. Examples 6 and 7: Convert to Slope Intercept Form