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Lesson 5.3 How do you write linear equations in point-slope form?

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Presentation on theme: "Lesson 5.3 How do you write linear equations in point-slope form?"— Presentation transcript:

1 Lesson 5.3 How do you write linear equations in point-slope form?
If you are given two points, use the slope formula to find the slope. Substitute the slope and coordinates of a given point into the point-slope form, 𝑦− 𝑦 1 =𝑚 𝑥− 𝑥 1

2 Lesson 5.1 – 5.2 How do you find the equation of a line given two points? Use the slope formula to find the slope. Start in point-slope form. Convert the equation to slope-intercept by solving for y. Verify the equation is in slope-intercept form y = mx + b

3 Lesson 5.4 How do you write an equation in standard form?
Use the slope formula to find the slope. Write the equation in point-slope form. Convert to standard form, 𝐴𝑥+𝐵𝑦=𝐶, by collecting all variable terms (x, y) on one side of the equation and all constant terms on the other side.

4 Lesson 5.5 How do you write equations of parallel and perpendicular lines? For parallel lines, use the same slope. Plug in the slope and a point to point slope form and convert over to slope intercept form. For perpendicular lines, use the opposite reciprocal slope.

5 Lesson 5.6 How do you make scatter plots and write equations to model data? To make a scatter plot, plot paired data in a coordinate plane. For a positive and negative correlation, draw a line of best fit. To write a line of best fit, pick two points on the line to calculate the slope. Plug in the slope and a point to point slope form and convert over to slope intercept form.

6 Lesson 5.7 How can you use a best-fitting line to make predictions about data? Make a scatter plot of data and then perform a linear regression to find the equation of the best-fitting line. The best fitting line allows us to make predictions about the data. How do you find the zero of a function? Set the equation equal to 0 and solve for x.


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