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Write the point-slope form of the equation of the line through the given points. Write the slope-intercept form of the equation of each line.
Tutorial on point slope form explained with many examples and pictures in a you tube style video. Plus Interactive HTML5 Applet, many practice problems worked out step by step and a worksheet with an answer key.
15 gru 2022 · This free step-by-step lesson guide explores the point-slope form equation and how it can be used to solve 5 point-slope form example problems. Detailed explanations and and answers are included.
Point-Slope Form (Practice Worksheet) Write an equation in point-slope form of the line that passes through the given point and has the given slope. (2, 7); m = -4 (12, 5); m = -3 (4, -5); m = 6 (-6, -2); m = 3 (7, -6); m = (-8, 2); m = Graph the equations below.
(x1, y1) is a known point. m is the slope of the line. (x, y) is any other point on the line. It is based on the slope: Slope m = change in y change in x = y − y1 x − x1. So, it is just the slope formula in a different way! Now let us see how to use it. y − 2 = 3x − 9. y = 3x − 9 + 2. y = 3x − 7. What is the equation for a vertical line?
Example: Write the point-slope form for the equation of the line through the point (-2, 5) with a slope of 3. Use the point-slope form, y –y 1 = m(x –x 1), with m = 3 and (x 1, y 1)= (-2, 5). y –y 1 = m(x –x 1) y –5 = 3(x –(-2)) Let m = 3, let (x 1, y 1)= (-2, 5). y –5 = 3(x + 2) Simplify into point-slope form
Free worksheet (pdf) and answer key on point slope form equation of a line. 31 scaffolded questions that start relatively easy and end with some real challenges. Plus model problems explained step by step.