{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

1140 L8 - x2 y 2 x1 y 1 x1 y 1

This preview shows pages 1–6. Sign up to view the full content.

Lecture 8, part I: Section 1.3 Linear Equations in Two Variables Def. The equation Ax + By + C = 0 is the general form of a linear equation in two variables. The slope m of L is de±ned by the formula m = 2 2 1 1 ) ( ) ( x , y x , y Slope as a Rate of Change For line L , m is the quotient of the change in y , the Rise , and the change in x , the Run . We have m = Rise Run = ² y ² x = y 2 ± y 1 x 2 ± x 1 NOTE: The slope of a line measures the average rate of change of y with respect to x

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
ex. Find the slope of the line through the points ( ± 6 ; 2) and ( ± 5 ; ± 4). NOTE: The order of subtraction is important!
ex. Graph the equation x = 2. Equation of a Vertical Line A vertical line with x -intercept a is given by the equation ex. Graph the equation y = 3. Equation of a Horizontal Line A horizontal line with y -intercept b is given by the equation

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Now consider a nonvertical line L with slope m containing the point ( x 1 ; y 1 ) x , y ( ) 1 1 Let ( x; y ) be any other point on L. we have Point-Slope Form of the Equation of a Line A line L with slope m which passes through the point ( x 1 ; y 1 ) has equation ex. Write the equation of the line with slope 2 and containing ( ± 1 ; 1).
ex. Write the equation of the line through (

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 14

1140 L8 - x2 y 2 x1 y 1 x1 y 1

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online