DO NOW Add these vocabulary words to the Ch. 5 Vocab section of your notebook. 10. Point-slope form: y – y1 = m(x – x1) This is the form to use.

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DO NOW Add these vocabulary words to the Ch. 5 Vocab section of your notebook. 10. Point-slope form: y – y1 = m(x – x1) This is the form to use when you know the slope and a point or when you know two points.

Quiz review Find the slope and y-intercept of each graph. 𝑦=5𝑥−3 𝑦= 1 4 𝑥− 1 3

Quiz review Write an equation in slope-intercept form of the line with the given slope and y-intercept. m = -2, b = 8/5 m = 0.7, b = -2

Quiz review Write an equation in slope-intercept form of each line.

Quiz review Write an equation in slope-intercept form of the line that passes through the given points. (-3, 3) and (1, 2)

5-4 Point-Slope form

? 5-1 Rate of Change and Slope ? 5-3 Slope-Intercept Form Table of contents Page # topic date ? 5-1 Rate of Change and Slope ? 5-2 Direct Variation ? 5-3 Slope-Intercept Form ? 5-4 Point-Slope Form 1

Writing an equation in point-slope form A line passes through (-3, 6) and has slope -5. What is an equation of the line?

You try! Writing an equation in point-slope form A line passes through (8, -4) and has slope 2/3. What is an equation of the line?

Graphing using point-slope form What is the graph of the equation 𝑦−1= 2 3 (𝑥−2)? Slope: Point:

Graphing using point-slope form What is the graph of the equation 𝑦+7=− 4 5 (𝑥−4)? Slope: Point:

Using two points to write an equation What is an equation of a line at the right?

Using two points to write an equation Now, instead of using the point you just used, choose the other point and rewrite the equation.

Changing to slope-intercept form Take the equations from the last problem and change them to slope-intercept form. 𝑦−4= 7 3 (𝑥−1)

Changing to slope-intercept form Take the equations from the last problem and change them to slope-intercept form. 𝑦+3= 7 3 (𝑥+2)

Using a table to write an equation The table shows the altitude of a hot-air balloon during its linear descent. What equation in slope-intercept form gives the balloon’s altitude at any time? What the slope and y- intercept represent?

Using a table to write an equation 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 form that models the data? What does the slope represent?

Using a table to write an equation 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 form that models the data? What does the slope represent? Now, change the equation into slope- intercept form. What does the y-intercept represent?