Math 1021 Section 2.3

Math 1021 Section - Point-Slope Form of the Equation of a Line y y 1 = m(x x 1 Given a point(x 1,y 1 and the slope m on a line Slope-Intercept Form

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 1021 Section 2.3 Lines A linear equation is one in which the variables are raised to the first power. The graph of a linear equation is a line. Slope a measurement of the steepness of a line which is calculated by comparing its vertical change (rise) to its horizontal change (run) Slope of a line, m = rise run 2 1 2 1 y y m x x - = - , x 1 x 2 If x 1 = x 2 , then the line is vertical and the slope is undefined . If slope is positive the line rises from left to right; if the slope is negative the line falls from left to right; if the slope is zero the line is horizontal; and if the slope is undefined the line is vertical. Equation of a Vertical Line: If a line goes through point (a, y) and is vertical, then the equation is given by x = a . Slope is undefined. Equation of a Horizontal Line: If a line goes through point (x, b) and is horizontal, then the equation is given by y = b. Slope is zero.
Background image of page 1

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

View Full DocumentRight Arrow Icon
Background image of page 2
Background image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Point-Slope Form of the Equation of a Line: y - y 1 = m(x - x 1 ) Given a point (x 1 ,y 1 ) and the slope m on a line. Slope-Intercept Form : y = mx + b ; m = slope and b = y-intercept Standard Form : Ax + By = C , where A, B , and C are real numbers and A and B are not both zero. (X1,Y1) (X2, Y2) rise = y2 - y1 run = x2 - x1 Ex. 1: Given a line containing the point (1, 3) and slope = -2/5, find the equation of the line in slope-intercept form, then graph the line. Ex. 2: Write the equation of the line containing the points (-2, 2) and (1, 4). Express your answer in point-slope form and standard form. Ex. 3: Write the equation of the line given the following properties. a) slope undefined through point (3, -5). b) horizontal line through point (-2, 4). Ex. 4: Find slope and y-intercept of 4x + 5y = -10, then graph the line....
View Full Document

This document was uploaded on 11/09/2010.

Page1 / 3

Math 1021 Section - Point-Slope Form of the Equation of a Line y y 1 = m(x x 1 Given a point(x 1,y 1 and the slope m on a line Slope-Intercept Form

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online