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)

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

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

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?

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

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

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

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.

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).

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.

Examples 6 and 7: Convert to Slope Intercept Form