Write an equation of the line that passes through the point and has the given slope. Use slope-i

step 1 we are going to do problem number 54 in this question we are going to just write the equation no

Write an equation of the line that passes through the point...

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Key Concepts

Linear Equation

A linear equation represents a straight line on the coordinate plane. It defines a relationship between the x and y variables such that the graph of the equation is a straight line. Understanding the characteristics of linear equations is fundamental to solving problems in algebra and coordinate geometry.

Slope

The slope of a line quantifies its steepness and direction. It is calculated as the ratio of the vertical change to the horizontal change between two points on the line. A positive slope indicates the line rises as x increases, while a negative slope indicates it falls.

Slope-Intercept Form

The slope-intercept form is a way of writing the equation of a line in the format y = mx + b, where m represents the slope and b represents the y-intercept. This form is particularly useful because it directly shows the slope and the point where the line crosses the y-axis.

Point-Slope Form

The point-slope form of a linear equation, expressed as y - y? = m(x - x?), is used when the slope of the line and one point on the line are known. This form provides a straightforward method to derive the equation of a line before converting it into other forms, such as the slope-intercept form.

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