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

step 1 So with this problem, we are going to be finding the point slope and slope intercept form given

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

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Key Concepts

Slope-Intercept Form

The slope-intercept form of a linear equation, given by y = mx + b, directly shows the slope (m) and the y-intercept (b) of the line. This form makes it easy to graph the line and understand its vertical shift, as well as how the line ascends or descends. It is a standard representation in analytic geometry to depict the linear relationship between variables.

Slope of a Line

The slope of a line represents its steepness and direction, and it is calculated using the change in the y-coordinates divided by the change in the x-coordinates between any two distinct points on the line. This concept is fundamental in understanding the behavior of linear relationships and is used as the basis for writing linear equations in various forms.

Point-Slope Form

The point-slope form of a linear equation is a useful method for writing 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 specific point on the line and m is the slope. This form is particularly helpful for quickly deriving the linear equation in situations where precise coordinates are given.

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