Can you use slope intercept form? Section 4.7. What do you know about slope-intercept form? Break down the phrase…. A linear equation y = mx+b is written.

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Presentation transcript:

Can you use slope intercept form? Section 4.7

What do you know about slope-intercept form? Break down the phrase…. A linear equation y = mx+b is written in slope-intercept form; where m is the slope and b is the y- intercept. Slope – Intercept form…

-2x + y = -3 Find the slope and y-intercept… First thing we do… Get it into slope-intercept form.. y = mx + b Second thing we do… Pick out the slope and the y-intercept Y = 2x - 3 ? ?

Slope: 2 Y- intercept: -3 (1) Find the slope and y-intercept (2)Plot the point (0,b) ; when b = -3 (3) Use the slope to locate a second point on the line. (4)Draw a line through the two points

3x + 4y = 8 What about this… SLOPE? Y-intercept?

7y – 14x = 28 You Try it…

What does it mean to be parallel?. Parallel Lines…

Parallel lines are DIFFERENT lines in the same plane that never intersect. If they have the SAME SLOPE and different y-intercepts, they are deemed as parallel. Any two vertical lines are parallel The REAL Definition..

Line A: 3y = -9x – 5 Line B: 2y – 6x = -5 Line C: 12x + 4y = 1 How can you tell which lines are parallel… (1) Rewrite each equation in slope-intercept form… (2) Identify the slope of each equation (3) Compare the slopes; If they are have the same slope, then they are parallel..

Page 246 #1,2,11-29(odd),49, 51, 53 (15 problems) Homework

Grab a board, a marker, and an eraser Get with a partner…

What is the equation for slope-intercept form…..

Find the slope and y-intercept of the equation… y = 2x + 1

Find the slope and y- intercept of the equation… y – x = 3

Rewrite the equation in slope-intercept form… 3x + y = -11

Rewrite the equation in slope intercept form… 3x – 6y = 18

Find the slope and y- intercept of this equation…. 3x + 4y = 16

Find the slope and y- intercept of this equation…. X + y = 0

Determine if the two equations are parallel lines… line a: 2x – 12 = y line b: y = x

What’s your wager?!?! Challenge Question….

Determine which graphs of the equations are parallel lines…. LINE A: 3y – 4x = 3 LINE B: 3y = -4x + 9 LINE C: 16x -12y = 24