Exploring Linear Relationships and Equations

y2 - y1 / x2 - x1

x2 - x1 / y2 - y1

(x1 + y1) - (x2 + y2)

y1 - y2 / x1 - x2

Multiply each term by the coefficient of x

Isolate y on one side of the equation

Divide each term by the coefficient of y

Isolate x on one side of the equation

A vertical line

A line with slope 1

A horizontal line

A line passing through the origin

ax + by = c

y - y1 = m(x - x1)

x = my + b

y = mx + b

ax + by = c

x = my + b

y - y1 = m(x - x1)

y = mx + b

The y-coordinate where the line crosses the y-axis

The slope of the line

The y-coordinate where the line crosses the x-axis

The x-coordinate where the line crosses the y-axis

The maximum y value minus the minimum x value

The sum of x and y values

The product of x and y values

The difference in y values divided by the difference in x values

The relationship is represented by a horizontal line

The relationship can be represented by a proportion

The relationship is represented by a vertical line

The relationship can be represented by a quadratic equation

By cross-multiplying and dividing

By squaring both sides of the equation

By subtracting the terms on both sides

By adding the terms on both sides

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104

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