5.4 Writing Equations in Point-Slope Form

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Presentation transcript:

5.4 Writing Equations in Point-Slope Form

y = mx + b Ax + By = C y – y1 = m (x - x1) x2 – x1 Forms of lines Slope-intercept form: “y by itself” Standard form: “x and y alone on the left” Point-slope form: Ax + By = C y – y1 = m (x - x1) Slope Formula y2 – y1 x2 – x1

y - y1 = m (x - x1) These do not change Ex. 1: Find an equation in point-slope form for the line passing through (2,4) with slope . These do not change y - y1 = m (x - x1)

Ex 2 Write the point-slope form of an Ex 2 Write the point-slope form of an equation for a line that passes through (-2,0) with slope y - y1 = m (x - x1)

Ex 3 Write the equation of a line in point-slope form that contains the given points. First find the slope Then pick a point (it doesn’t matter which on you choose)

Ex 4 Write the equation of a line in point-slope form that contains the given points. First find the slope Then pick a point (it doesn’t matter which on you choose)

Ex 5 Write the equation of a line in point-slope form that contains the given points. First find the slope Then pick a point (it doesn’t matter which on you choose)

Example 6 Graph the equation.

Example 7 Graph the equation.

Example 8

Homework WB Pg 151 #1-14