Use the given conditions to write an equation for each line in point-slope form and general form

step 1 Okay, so to begin this problem, I'm going to rewrite this equation in slope intercept form. So I

Use the given conditions to write an equation for each line...

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Key Concepts

Point-Slope Form

The point-slope form is a method of writing the equation of a line when a point on the line and its slope are known. This form, expressed as y - y? = m(x - x?), is especially useful for quickly forming an equation by directly substituting the slope and the coordinates of the given point.

General Form

The general form of a linear equation is a standard way to represent a line using the format Ax + By + C = 0. It is often used in algebra and geometry to standardize the representation of lines, making it easier to analyze the properties and relationships between different lines.

Perpendicular Lines

In coordinate geometry, two lines are perpendicular if the product of their slopes is -1. This relation means that the slope of the line perpendicular to a given line is the negative reciprocal of the original line’s slope, a concept that is instrumental in finding equations of lines that meet at right angles.

Slope

The slope of a line represents its steepness and direction and is a measure of the ratio of the vertical change to the horizontal change between any two points on the line. Understanding slope is essential for determining line orientations and for converting between different forms of linear equations.

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