Bellwork You will need a graphing calculator today!!

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Presentation transcript:

Bellwork

You will need a graphing calculator today!!

linear NOT linear

y-intercept: y-coordinate of the point where a line crosses the y-axis. y-intercept = 4 slope= html

y = mx + b slope y-intercept html

Homework pp , 6, 10, 22, 23, 32, 35, 41, 45, 47, 50, 52, 56, 57, 62-64

Bellwork

point-slope form- non-vertical line that passes through point (x,y ) with slope m 1 1 y - y = m ( x - x ) 1 1

11

html

html

html

Homework

y = mx + b Slope-Intercept Form Slope is easy to find.

What is the slope of x = ? What is the slope of y = ? VUXHOY

STANDARD FORM Transform Standard Form into Slope-Intercept Form: Step 1Ax + By = C Step 2 By = -Ax + C Step 3 y = -Ax + C B B

y = -Ax = C B B What's the slope? m = -A B

Example 1: Parallel Lines Parallel lines have exactly the same slope. Equation of red line: y = 1x Equation of blue line: y = 1x - 1 2

All horizontal lines are parallel and have a slope of what? HOY

All vertical lines are parallel and have a slope of what? VUX

No matter what form of equation you use, find the slope and you have the slope of all the parallel line.

I will give you an equation and a point. Find the slope of the equation. That's all you need the equation for; you are finished with it.

Plug the slope and point into the the point-slope form of the equation.

Example 2: Perpendicular Lines ·Form right angles where they meet ·Slopes are negative, or opposite, reciprocals ·Product of perpendicular = -1

Examples of negative reciprocals 1 and -31 and and 2 2 1

I will give you an equation and a point. Find the slope of the equation. That's all you need the equation for; you are finished with it.

Find the negative reciprocal of the slope

Plug the slope into the slope-intercept form to write the equation.

Homework pp even