# The Graph of an Equation - Houston Community College

P.2 Linear Models & Rates of Change 1. Find the slope of a line passing thru 2 points. 2. Write the equation of a line with a given point and slope. 3. Interpret slope as a ratio or as a rate in a reallife application. 4. Sketch the graph of a linear equation. 5. Write equations of lines that are parallel or perpendicular to a given line.

The Slope of a Line Definition. The slope m of the nonvertical line passing through (x1, y1) and (x2, y2) is Slope is undefined for vertical lines. Equations of Lines Point-slope form: y y1 = m(x x1)

Slope-intercept form: y = mx + b General form: Ax + By + C = 0 (or, Ax + By = C, where A, B 0) Vertical line: x = a Horizontal line: y = b Ratios and Rate of Change The slope of a line can be interpreted as either a ratio or a rate.

If x and y are of the same unit, then the slope has no unit and is a ratio. If x and y are of different units, then the slope is a rate, or rate of change. The average rate of change is always calculated over an interval. Parallel and Perpendicular Lines Two distinct nonvertical lines are parallel if

and only if their slopes are equal, i.e., m1 = m2. Two distinct nonvertical lines are perpendicular if and only if their slopes are negative reciprocals of each other, i.e., m1 m2 = - 1.

## Recently Viewed Presentations

• For example, early in development, all vertebrate animals have a notochord, a rod made of cartilage that runs the length of the embryo's body, and gill slits. The bones of these animals are very similar to one another. What do...
• Popular Culture - found in a large, heterogeneous society that shares certain habits despite differences in personal characteristics. Material Culture - the physical objects produced by a culture in order to meet its material needs: food, clothing, shelter, arts, and...
• Product Training HemCon ChitoGauze® PRO * ChitoGauze® PRO Overview #1018 / #30-0049 ChitoGauze PRO 3in x 4yds NSN# 6510-01-591-7740 #1017 ChitoGauze 4in x 4yds FDA: 510(k): K102546 FDA Indication: ChitoGauze PRO is a hemostatic dressing for the external, temporary control...
• Learning Objectives. 4.1 Describe business models and discuss their importance.. 4.2. Identify and describe the two general types of business models—standard and disruptive. 4.3. Explain the components of the Barringer/Ireland Business Model Template that entrepreneurs can use to develop a...
• Imagism. What it is. Poetry that presents an image as a larger statement. Usually free verse. There were three rules: Direct treatment of the "thing"—either object or subject. Use no word that is not absolutely necessary. Compose as if it...
• Art of Multiprocessor Programming. Concurrent Stack. Methods. push(x) pop() Last-in, First-out (LIFO) order. Lock-Free! The lock free stack implementation using a CAS is usually incorrectly attribted to Treiber. Actually it predates Treiber's report in 1986. It was probably invented in...
• Harry Potter and the Sorceror's Stone
• Amend the current schedule through discussion and dialogue. Each individual staff member prioritises his/her schedule of duties (on computer/laptop) A composite of these priorities will form the basis of the revised schedule. ... (AP level/SDT level)