Drill #21 A. Write each equation in Standard Form.

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Drill #21 A. Write each equation in Standard Form. B. Identify A, B, and C C. Find the x- and y- intercepts D. Graph each equation using the intercepts

Drill #22 Write the following equation in a.) Standard Form. b.) Identify the slope and x- and y- intercepts. c.) use the intercepts to graph the line. Find the value of r so that the line that passes through each pair of points has the given slope:

2-3 Slope and Rate of Change Objective: To find the rate of change, to determine the slope of a line, and to use the slope and y-intercept to find the slope intercept form of a line.

Slope Intercept Form The slope intercept form of a line is: y = mx + b, Where m = slope and b = y-intercept

Standard Form Formulas If an equation is in standard form Ax + By = C Then X- intercept = C/A Y- Intercept = C/B Slope = -A/B

Slope The formula for slope given two points is

Find the slope and y-intercept

Find the slope and y-intercept

Find the slope and y-intercept

Find the slope and y-intercept

Find the value of r…

Graphing Linear Equations Standard Form: Find the x- and y- intercepts Slope-Intercept Form: Use the slope and the y- intercept

Graphing (Slope Intercept) Steps for graphing an equation in slope-intercept form: 1. Plot b (the y- intercept) 2. Use the slope to find a second point 3. Connect the points and draw a line

Example: Graph the following equation that is in slope intercept form: y = 2x – 2 What is the slope? What is the y- intercept?

Write the equation of a line: 2 -4 x y

Classwork Identify the equations in 2-3 Skills Practice #10-15

Rate Word Problems A plane descends at a rate of 1000 ft per second. If it starts at 10,000 ft, Write an equation to describe the situation What altitude will the plane be at after 8 minutes?

Rate Word Problems A plane ascends at a rate of 1500 ft per second. If it starts at 2,000 ft, a.) Write an equation to describe the situation b.) What altitude will the plane be at after 8 minutes?

Slope* Slope: The ratio of the change in vertical units to the change in horizontal units (RISE OVER RUN). The formula for the slope m of the line passing through and is given by . That is the change in the y coordinate (RISE) over the change in the x coordinate (RUN)

Point Slope Form Definition: An equation in the form of where Are the coordinates of a point on the line and m is the slope of the line. NOTE: For point slope form we need a point and the slope (or two points).