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Questions and Answers

What is the slope of the line through the points (16, 1), (17, 7)?

6

What is the slope of the line through the points (2, 8), (7, 8)?

0

What is the slope of the line through the points (-16, 7), (-15, 17)?

10

What is the slope of the line through the points (-11, 15), (-11, 6)?

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What is the slope and y-intercept of the equation y + 3 = x?

<p>Slope: 1, Y-intercept: -3</p> Signup and view all the answers

What is the slope and y-intercept of the equation 2y - 10 = -4x?

<p>Slope: -2, Y-intercept: 5</p> Signup and view all the answers

What is the slope and y-intercept of the equation -5 - y = -3x?

<p>Slope: -3, Y-intercept: -5</p> Signup and view all the answers

What is the slope and y-intercept of the equation y = 5x?

<p>Slope: 5, Y-intercept: 0</p> Signup and view all the answers

What is the slope and y-intercept of the equation 6 - 2y = -x?

<p>Slope: -0.5, Y-intercept: 3</p> Signup and view all the answers

What is the slope and y-intercept of the equation 5y + 10 = -2x?

<p>Slope: -0.4, Y-intercept: -2</p> Signup and view all the answers

Write an equation for the line with a slope of -2 and a y-intercept of 2.

<p>y = -2x + 2</p> Signup and view all the answers

Write an equation for the line with a slope of 1 and a y-intercept of -4.

<p>y = x - 4</p> Signup and view all the answers

Flashcards

Slope of a line

The rate of change of y with respect to x; describes the steepness of a line.

Slope-Intercept Form

The equation of a line in the form y = mx + b, where m is the slope and b is the y-intercept.

Finding the Slope

Calculate the slope using two points (x1, y1) and (x2, y2) using the formula (y2 - y1) / (x2 - x1).

y-intercept

The point where a line crosses the y-axis.

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Horizontal Line

A line parallel to the x-axis.

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Vertical Line

A line parallel to the y-axis.

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Graphing a Line

Visual representation of a linear equation on a coordinate plane using points or drawing the slope and intercept.

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Equation of a line

A mathematical statement describing a straight line.

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Parallel Lines

Lines that never intersect; they have the same slope.

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Perpendicular Lines

Lines that intersect at a 90-degree angle; their slopes are negative reciprocals of each other.

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