1. A line passes through (3, 5) and (6, 14). What is the equation of the line in point-slope form? 2. Write an equation of a line parallel to -3x + y =

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Presentation transcript:

1. A line passes through (3, 5) and (6, 14). What is the equation of the line in point-slope form? 2. Write an equation of a line parallel to -3x + y = 1 and passes through (4, -1) in slope-intercept form.

2. -3x + y = 1 +3x y = 3x + 1 Parallel Lines, same slope m = 3 y – (-1) = 3(x – 4) y + 1 = 3x – y = 3x - 13

Fri 9/25 Lesson 2 – 4 Learning Objective: To graph linear eq’ns Hw: Pg. 86 # 4, 5, 26 – 29, 37 – 41 Pg. 73 #

Algebra II

 To graph linear equations

Positive Slope Negative Slope Slope = 0 Slope = undefined

3. Graph 3x + 5y = 15 x-intercept (y = 0)3x + 5(0) = 15 3x = 15 x = 5 (5, 0) y-intercept (x = 0) 3(0) + 5y = 15 5y = 15 y = 3 (0, 3)

4. Graph 2x – 4y = 8 x-intercept (y = 0)2x - 4(0) = 8 2x = 8 x = 4 (4, 0) y-intercept (x = 0) 2(0) - 4y = 8 -4y = 8 y = -2 (0, -2)

5. Graph x + 3 = 7 It ONLY has x, so solve for x. x + 3 = x = 4 x ALWAYS equals 4

6. Graph y + 3 = 1 It ONLY has y, so solve for y. y + 3 = y = -2 y ALWAYS equals - 2

6. Graph a line with slope of 0 and goes through the point (-3, 4) Slope = 0 Horizontal Line at y = 4

7. Graph a line with slope that is undefined and goes through the point (1, -2) Slope = undefined Vertical Line at x = 1

7. Graph 2x + y = 2 y = -2x + 2 (0, 2) (1, 0)

 Graph 2y = 4x + 8 What is the slope? Find x-intercept Find y-intercept