Write the point-slope form of the equation of the line...

Write the point-slope form of the equation of the line satisfying each of the conditions in Exercises $1-28 .$ Then use the point-slope form of the equation to write the slope-intercept form of the equation.
Slope $=-12,$ passing through $(-8,0)$

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Key Concepts

Point-Slope Form

The point-slope form is a way to write the equation of a line when you know its slope and one point on the line. It is usually represented as y - y? = m(x - x?), where m is the slope and (x?, y?) is the specific point on the line. This form is particularly useful for quickly forming an equation when these two pieces of information are given.

Slope-Intercept Form

The slope-intercept form is another common way to express the equation of a line. It is written as y = mx + b, where m represents the slope and b represents the y-intercept, which is the point where the line crosses the y-axis. This form makes it easy to graph the line and understand its steepness and position relative to the coordinate axes.

Slope

Slope is a measure of the steepness and direction of a line in a coordinate plane. It is calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line. The value of the slope is key in understanding the behavior of linear relationships and is integral to constructing linear equations.

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