Mary Jane Sterling - Algebra II - 1001 Practice Problems For Dummies (+ Free Online Practice)

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181–190 Solve the radical equations involving two or more radical terms.

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Chapter 4

Lines are graphs of linear expressions. When graphing lines or writing their equations, you have the slope intercept form, , or you can use the point-slope form, .Slopes of parallel lines are equal in value, and slopes of perpendicular lines are negative reciprocals of one another.

In this chapter, you’ll work with the graphs and equations of lines in the following ways:

Graphing a line given a point and a slope

Graphing lines given two points

Graphing a line parallel or perpendicular to a particular line

Writing the equation of a line given a point and a slope

Writing the equation of a line given two points

Writing the equations of lines either parallel or perpendicular to a given line

Don’t let common mistakes like those that follow trip you up when working with the graphs and equations of lines:

Drawing a line with a positive slope rather than a negative slope

Not using the slope formula correctly when inserting the coordinates of points

Forgetting to change the sign when determining the slope of a line perpendicular to a given line

Distributing incorrectly when simplifying the point-slope form

191–210 Sketch a graph of the line described.

191. Through (3, 2) with

192. Through (–2, –3) with

193. Through (0, 3) with

194. Through (3, –2) with

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

196. Through (5, 1) and parallel to the line

197. 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