Review of Linear Equations

Practice flashcards for reviewing linear equations, including forms, slopes, intercepts, and graphing methods.

The slope-intercept form of a linear equation is written as __.

y = mx + b

In the slope-intercept form, 'm' represents the __.

slope

In the slope-intercept form, 'b' represents the __.

y-intercept

The standard form of a linear equation is written as __.

Ax + By = C

In standard form, A, B, and C are __.

coefficients

The point-slope form of a linear equation is represented as __.

y - y₁ = m(x - x₁)

In the point-slope form, 'm' represents the __.

slope

To calculate the slope, you divide by .

rise; run

If the slope is positive, the line is __.

rising

If the slope is negative, the line is __.

falling

The slope when the line goes up at a 45-degree angle is __.

1

The slope when the line is horizontal is __.

0

The slope when the line is vertical is __.

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The formula for calculating the slope using two points (x₁, y₁) and (x₂, y₂) is __.

(y₂ - y₁) / (x₂ - x₁)

An x-intercept is a point where __.

y = 0

The y-intercept is the y-coordinate of a point when __.

x = 0

The x-intercept of the point (3, 0) is __.

3

The y-intercept of the point (0, 4) is __.

4

Parallel lines have __ slopes.

the same

Perpendicular lines have slopes that are __ of each other.

negative reciprocals

If one line has a slope of 2, a line parallel to it will also have a slope of __.

2

The slope of a line perpendicular to one with a slope of -3/4 is __.

4/3

To graph an equation in slope-intercept form, start by plotting the __.

y-intercept

From the y-intercept, use the slope to find __.

additional points

The x-intercept can be found by setting y equal to __.

0

The y-intercept can be found by setting x equal to __.

0

A horizontal line has a slope of __.

0

A vertical line has a slope of __.

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The slope-intercept form is useful for identifying the and of a line quickly.

slope; y-intercept

In a graph, the point (0, -4) represents __.

y-intercept

If y = 3, the graph is a __ line at y = 3.

horizontal

If x = 4, the graph is a __ line at x = 4.

vertical

The x-intercept of the equation 3x - 2y = 6 is __.

2

The y-intercept of the equation 3x - 2y = 6 is __.

-3

To graph the equation in standard form, you can find the and .

x-intercept; y-intercept

The point (2, 3) can be expressed in __ in point-slope form.

y - 3 = m(x - 2)

The slope of the line represented by y + 4 = -3/2(x + 1) is __.

-3/2

The equation y = 2x - 3 is in __ form.

slope-intercept

To confirm the slope of a line from a graph, examine how much it rises or falls for every unit it __.

runs

A linear equation can represent __ in a real-world situation.

relationships between variables

When given two points, you can find the slope of the line by __ the differences in y and x.

calculating

The slope of a line that goes down from left to right is __.

negative

The slope of a line that goes up from left to right is __.

positive

The term 'm' in the equation signifies the __ of the line.

slope

A vertical line has a constant value of __ for x.

x