13.7 – Writing Linear Equations

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Presentation transcript:

13.7 – Writing Linear Equations What does the m represent? What does the b represent? y=mx+b SLOPE!!! Y-INT!!! Y Name the slope and y-intercept of each line m b BLUE GREEN PURPLE

We are going to learn how to write equations. There are three main types. 1) Slope and y-intercept 2) Slope and a point 3) Two points

Y - I N T = 3 m = 1 y = 1 x + 3

Solve for y, change it to ‘y =‘ Distribute Get y by itself

We are going to learn how to write equations. There are three main types. 1) Slope and y-intercept 2) Slope and a point 3) Two points

Writing an equation given a slope and a point. Point-slope form Slope-intercept form Plug in the slope and the point into point slope form Plug in the slope and the point into point slope form Solve for y (get y by itself) 2 3 1 –6

Slope-intercept form Point-slope form Standard form 1 2 4 2 Write the equation of the line given a point and a slope in point-slope form 1 2 2 4

Slope-intercept form Point-slope form Standard form 1 2 4 2 Write the equation of the line given a point and a slope in SLOPE-INTERCEPT FORM 1 2 2 4

Find points and label Find points and label Plug into formula y2 – y1 SLOPE = m = x2 – x1 Find points and label Plug into formula Reduce Fraction (3,-1) (2, 3) x1 y1 x2 y2 Find points and label Plug into formula Reduce Fraction (0, 2) (2, -4) x1 y1 x2 y2 y2 3 y1 -1 -4 y2 y1 2 x2 x2 x1 2 x1 3 2 4 -6 -1 2

We are going to learn how to write equations. There are three main types. 1) Slope and y-intercept 2) Slope and a point 3) Two points One new thing: Find your own darn slope! ADJ:AJDSAK:JFDS:FJIJOWEJC:DSJK:FJKOWEIJFKSD:EJIFLSJFKSLFJSKFLJSFELIWPOWPJDPWAOJLJFSLSDEFPWOPEFJSLKFJWPEJFSDLFJSLOPEDSJFKL:WJPAFJPDSVOJDSPKFEIWLPJFKLSDFJ:AJWPVDSNFELWKGJWLEGIJLRIJGDFI

3) Change into correct form -4 3 2 Slope-intercept form y2 – y1 m = Point-slope form x2 – x1 Standard form 1) Find slope 2) Take slope, ANY POINT 3) Change into correct form (3,-1) (2, 3) x1 y1 x2 y2 3 y2 y1 -1 x2 2 x1 3 4 -1 -4 3 2 Slope-int

3) Change into correct form -1 2 1 –4 Slope-intercept form y2 – y1 m = Point-slope form x2 – x1 Standard form 1) Find slope 2) Take slope, ANY POINT 3) Change into correct form -4 y2 y1 1 (-4,1) (6, -4) x1 y1 x2 y2 -1 2 x2 6 -4 x1 1 –4 -5 10 Slope-int

3) Change into correct form 1 3 5 Slope-intercept form y2 – y1 m = Point-slope form x2 – x1 Standard form 1) Find slope 2) Take slope, ANY POINT 3) Change into correct form 7 y2 y1 5 (0,5) (6, 7) x1 y1 x2 y2 1 3 x2 6 x1 5 2 6 Standard

Practice problems Slope – Int Standard (3, 4); (1, 2) (-2, 4) (1, -5)

HW #55: Pg 555: 8, 10, 17 – 20 (slope-int and standard) 22, 23, 25 – 30 (even standard, odd slope-intercept), 33 – 38. (20 problems, end problems not easy) Hint for 33, think circumcenter.