Parallel Lines and Their Slopes In other words, the slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts. Perpendicular Lines and Their Slopes In other words, perpendicular slopes are negative reciprocals of each other. If you need more of a review on how to use this form, feel free to go to Tutorial

kcc1 Count to by ones and by tens. kcc2 Count forward beginning from a given number within the known sequence (instead of having to begin at 1). kcc3 Write numbers from 0 to Represent a number of objects with a written numeral (with 0 representing a count of no objects). kcc4a When counting objects, say the number names in the standard order, pairing each object with one and only. Write the equation of a line that is parallel to y = 6 x + 1 {y=6x+1} y = 6 x + 1 y, equals, 6, x, plus, 1 and that passes through the point (− 7, 1) {(-7,1)} (− 7, 1) left parenthesis, minus, 7, . Write the equation for a line that is a parallel or perpendicular to a line given in slope-intercept form and goes through a specific point.

Print this page Addition and subtraction within 5, 10, 20,or Addition or subtraction of two whole numbers with whole number answers, and with sum or minuend in the range,orrespectively.

Two numbers whose sum is 0 are additive inverses of one another.

Associative property of addition. See Table 3 in this Glossary. Associative property of multiplication.

Pairs of linked numerical observations. A method of visually displaying a distribution of data values by using the median, quartiles, and extremes of the data set.

A set of predefined steps applicable to a class of problems that gives the correct result in every case when the steps are carried out correctly. Purposeful manipulations that may be chosen for specific problems, may not have a fixed order, and may be aimed at converting one problem into another.

Two plane or solid figures are congruent if one can be obtained from the other by rigid motion a sequence of rotations, reflections, and translations. A strategy for finding the number of objects in a group without having to count every member of the group. For example, if a stack of books is known to have 8 books and 3 more books are added to the top, it is not necessary to count the stack all over again.

There are eleven books now. A transformation that moves each point along the ray through the point emanating from a fixed center, and multiplies distances from the center by a common scale factor. A multi-digit number is expressed in expanded form when it is written as a sum of single-digit multiples of powers of ten.

For a random variable, the weighted average of its possible values, with weights given by their respective probabilities. For a data set with median M, the first quartile is the median of the data values less than M.

The word fraction in these standards always refers to a non-negative number.

Identity property of 0. Independently combined probability models. Two probability models are said to be combined independently if the probability of each ordered pair in the combined model equals the product of the original probabilities of the two individual outcomes in the ordered pair.

A number expressible in the form a or -a for some whole number a. A measure of variation in a set of numerical data, the interquartile range is the distance between the first and third quartiles of the data set.

A method of visually displaying a distribution of data values where each data value is shown as a dot or mark above a number line.Find the Equation of a Line Parallel or Perpendicular to Another Line – Practice Problems Page 2 of 4 Detailed Solutions 1.

Find the equation of a line passing through the point (4, –7) parallel . A worksheet where students write equation of lines which are parallel or perpendicular to the lines given. Has a starter, main and extension. SWBAT write the equation of parallel and perpendicular lines based on the given information.

Big Idea For students to write the equation of a line parallel to or perpendicular to a line and passing through a given point using different representations of . Writing Equations of Parallel and Perpendicular Lines Write the slope-intercept form of the equation of the line described.

1) through: (,), parallel to.

Mathematics Glossary » Glossary | Common Core State Standards Initiative |
Write the Equation of a line Parallel or Perpendicular given different information. |

Finding Parallel and Perpendicular Lines |
McKenzie; Updated April 24, Parallel lines are straight lines that extend to infinity without touching at any point. |

You must know the structure of a straight-line equation before you can write equations for parallel or perpendicular lines. The standard form of the equation is "y = mx + b," in which "m" is the slope of the line and "b" is the point where the line crosses the y-axis.

From the Pythagorean theorem we have the relationship: a² + b² = c² In our case we will let c = R+δ; b=R; a=d; where R is the radius of the Earth (we will use miles), d is our distance, and δ which is our unknown quantity (the drop height) so we can put these into the equation as follows.

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Equations of a Parallel and Perpendicular Line