Find an equation of the line that passes through the given point and is parallel to the given li

step 1 So my goal here is to write the equation in slope intercept form that passes to the given point,

Find an equation of the line that passes through the given...

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Key Concepts

Parallel Lines

Parallel lines are lines in a plane that do not intersect, regardless of how far they are extended. In the context of linear equations, this means that parallel lines share the same slope, which is a key property used to determine if two lines will never meet.

Slope-Intercept Form

The slope-intercept form of a line is expressed as y = mx + b, where m represents the slope of the line and b represents the y-intercept. This form is particularly useful because it clearly shows the line's steepness and where it crosses the y-axis, making it easier to graph or analyze the line.

Point-Slope Form

The point-slope form of a line is given by y - y? = m(x - x?), where (x?, y?) is a specific point on the line and m is the slope. This form is extremely useful when you know a point on the line and its slope, and it can be easily converted to the slope-intercept form for further analysis or graphing.

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