Point-Slope Form Algebra 1.

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Presentation transcript:

Point-Slope Form Algebra 1

Learning Targets I can interpret an equation in point-slope form I can write an equation in point-slope form given the correct information

Something to think about… You are given two point: (1, 3) (-4, -12) For us to write an equation through these points in slope-intercept (y = ax + b) form we need to know the: slope y-intercept We can find the slope but the y-intercept can be difficult. There is another form of a linear equation that can help!!!!

y = ax + b a = slope b = y-intercept y = y1 + a(x – x1) a = slope Slope-Intercept Form Point-Slope Form y = ax + b a = slope b = y-intercept y = y1 + a(x – x1) a = slope (x1 , y1) = any given point

Try one You know a line has a slope of 3 and a point on that line is (6, 10), make an equation in point slope form. y = ___ + ____(x - ____) y = 10 + 3(x – 6) 10 3 6 y1 a x1

Try one You know a line has a slope of -1/3 and a point on that line is (-9, -4.5), make an equation in point slope form. y = ___ + ____(x - ____) y = -4.5 – 1/3(x + 9) -4.5 -1/3 -9 y1 a x1

Try one You know a line has a slope of 0 and a point on that line is (7, -2), make an equation in point slope form. y = ___ + ____(x - ____) y = -2 -2 7 y1 a x1

Examples y = ½x + 4 1. y = 5 + ½ (x – 2) Slope: ½ Point: (2, 5) 2. y = -4 (x – 1) – 2 Slope: -4 Point: (1, -2) 3. y = 2/3 (x + 6) – 8 Slope: 2/3 Point: (-6, 2) y = -4x + 2 y = 2/3 x – 4

Finding Slope You are given two points: (-11, 0) (-7, 2) Make and equation Slope = ½ Point = (-11, 0) or (-7, 2) Y = 0 + ½ (x + 11) or y = 2 + ½ (x + 7)