Write an equation of the line satisfying the given...

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form or
standard form.
The line contains the point $(3,2)$ and is parallel to a line with a slope of $-\frac{3}{4}$.

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Key Concepts

Slope

Slope is a measure of the steepness of a line and is defined as the ratio of the vertical change to the horizontal change between two points. It indicates how much the line rises or falls as it moves from left to right.

Parallel Lines

Parallel lines are lines in a plane that do not intersect regardless of how far they are extended. They have identical slopes, which means if a line is parallel to another, it must have the same slope.

Slope-Intercept Form

The slope-intercept form of a line is given by y = mx + b, where m represents the slope and b is the y-intercept. This form is useful for quickly identifying both the slope and the point where the line crosses the y-axis.

Point-Slope Form

The point-slope form is used to write the equation of a line when a point on the line and the slope are known. It is expressed as y - y? = m(x - x?), where (x?, y?) is a given point and m is the slope. This form is particularly useful for deriving the equation of a line from known conditions.

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