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Through (–2, –3) and parallel to the line

      198. Through (–3, –1) and parallel to the line

      199. Through (4, 1) and parallel to the line

      200. Through (0, 0) and parallel to the line

      201. Through (2, 4) and perpendicular to the line

      202. Through (–3, –3) and perpendicular to the line

      203. Through (–2, 7) and perpendicular to the line

204. Through (4, –1) and perpendicular to the line

      205. Through (2, 3) and perpendicular to the line

      206. Through (–2, 4) and perpendicular to the line

      207. Through (2, 5) and perpendicular to the line

      208. Through (1, –1) and perpendicular to the line

      209. Through (4, 3) and perpendicular to the x-axis

      210. Through (3, –5) and perpendicular to the y-axis

Writing Equations of Lines Given Point and Slope

       211–220 Write an equation of the line with the given point and slope.

      211. Through (3, –1);

      212. Through (3, –1);

      213. Through (3, –1);

      214. Through (3, –1);

      215. Through (3, –1);

      216. Through (3, –1);

217. Through (3, –1);

      218. Through (3, –1);

      219. Through (3, –1);

      220. Through (3, –1); m is undefined

Writing Equations of Lines Given Two Points

       221–228 Write an equation of the line through the two points.

      221. (3, –2) and (4, 2)

      222. (–5, 1) and (–3, 7)

      223. (4, –3) and (1, 6)

      224. (–2, –3) and (3, 4)

      225. (5, 6) and (–1, 12)

      226. (–3, 5) and (4, –4)

      227. (6, 3) and (6, –8)

      228. (4, –2) and (5, –2)

Finding Equations of Parallel Lines

       229–234 Write an equation of the line parallel to the given line through the point.

      229. Parallel to through (1, 1)

      230. Parallel to through (2, 3)

231. Parallel to through (3, 0)

      232. Parallel to through (0, 5)

      233. Parallel to through (4, 8)

      234. Parallel to through (4, –7)

Writing Equations of Perpendicular Lines

       235–240 Write an equation of the line perpendicular to the given line through the point.

      235. Perpendicular to through (2, 3)

      236. Perpendicular to through (10, –7)

      237. Perpendicular to through (–2, 3)

      238. Perpendicular to through (–9, –1)

      239. Perpendicular to through (–6, 2)

      240. Perpendicular to through (5, –3)

Chapter 5

      Functions

      A function is a relationship in which there is exactly one output value for each input value. The functions used in algebra incorporate all sorts of operations — from addition and subtraction to absolute value and factorial. Functions might be restricted as to their input values; the input values constitute the domain. And a function may have a limited number of output values (its range) due to the way the operations are performed on the input values.

The Problems You’ll Work On

      In this chapter, you’ll work with functions in the following ways:

       Determining the domain and range from the function equation

       Recognizing

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