Lesson 5-4 Point-Slope Form Sept. 22, 2014. Daily Learning Target I will write and graph linear equations using point-slope form.

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Presentation transcript:

Lesson 5-4 Point-Slope Form Sept. 22, 2014

Daily Learning Target I will write and graph linear equations using point-slope form.

What is it? y – y 1 = m(x – x 1 ) m = slope (x 1, y 1 ) = a point the line goes through.

Here is how it works!!

How it works cont.

Example 1

You Try It

Example 2

You Try

Example 3 What is an equation of the line from the coordinate plane? Steps to think about: Think  --You need the slope m, so start with the slope formula. – Use the given points to find the slope – Use point-slope form – Use either point for (x 1, y 1 ).

You Try

Example 4 The table shows the altitude of a hot-air balloon during its linear descent. What equation in point-slope form. What does it look like in slope-intercept form? PSF: y – 640 = -2.5(x – 10) SIF: y = -2.5x Time, x (s)Altitude, y (m)

You Try The table shows the number of gallons of water, y, in a tank after x hours. The relationship is linear. What is an equation in point-slope forms that models that data. What does the slope represent? PSF: y – 3320 = 1250(x – 2); The rate at which water is being added to the tank. Time, x (h)Water, y (gal) ,820

Homework Workbook: Page 151 problems 1, 3, 4, 6, 7, 8, 10, 11, 13 Page 153 problems 1-6 ALL