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

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Presentation transcript:

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

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

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.

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.

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.

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.