Write in slope-intercept form the equation of the line that passes through the given point and h

step 1 Here we're solving for the slope intercept equation of a line that's passing through the points

Write in slope-intercept form the equation of the line that...

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Key Concepts

Point-Slope Form

Point-slope form is used to write the equation of a line when a point on the line and its slope are known. It is written as y - y? = m(x - x?), where (x?, y?) is the given point and m is the slope. This form is particularly useful in transitioning to the slope-intercept form.

Linear Equation

A linear equation is an algebraic equation that represents a straight line on a coordinate plane. It describes the relationship between two variables with constant change and can be written in several forms, each emphasizing different characteristics of the line.

Slope-Intercept Form

Slope-intercept form is a common way to express the equation of a line, written as y = mx + b. In this form, m represents the slope, which indicates the steepness and direction of the line, and b represents the y-intercept, which is the point where the line crosses the y-axis.

Slope

The slope of a line is a measure of its steepness and the direction in which it moves. It is defined as the ratio of the change in the y-coordinate to the change in the x-coordinate between two points on the line, serving as a key characteristic in many forms of linear equations.

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