Math 103 Section 1.2: Linear Equations and ... - Bruce E. Shapiro

Math 103 Section 1.2: Linear Equations and ... - Bruce E. Shapiro Math 103 Section 1.2: Linear Equations and ... - Bruce E. Shapiro

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Slope of the special cases: vertical and horizontal lines Slope formula: m = y 2−y 1 x 2 −x 1 two points on the line. where (x 1 , y 1 ) and (x 2 , y 2 ) are ANY What is the slope of the line defined by the linear equation y = −4? What is the slope of the line defined by the linear equation x = 3? 10

Special forms for linear equations: Slope-Intercept form. Definition 4 An equation of the form y = mx + b is a linear equation in slope-intercept form. Put 4x − 3y = 12 into slope-intercept form. What are m and b? What do they mean? 11

Slope of the special cases:<br />

vertical <strong>and</strong> horizontal lines<br />

Slope formula: m = y 2−y 1<br />

x 2 −x 1<br />

two points on the line.<br />

where (x 1 , y 1 ) <strong>and</strong> (x 2 , y 2 ) are ANY<br />

What is the slope of the line defined by the linear equation<br />

y = −4?<br />

What is the slope of the line defined by the linear equation<br />

x = 3?<br />

10

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