## slope-intercept form

### The slope-intercept form is a way to express the equation of a straight line

The slope-intercept form is a way to express the equation of a straight line. It takes the form of y = mx + b, where m is the slope of the line and b is the y-intercept. To understand this form better, let’s break down its components:

– y and x: These variables represent the coordinates of any point on the line.

– m (slope): The slope refers to the measure of how steep or slanted the line is. It represents the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line. In the slope-intercept form, the coefficient of x (m) represents the slope.

– b (y-intercept): The y-intercept is the point where the line crosses the y-axis. It represents the value of y when x is equal to zero. In the slope-intercept form, the constant term (b) represents the y-intercept.

So, an equation written in slope-intercept form allows us to easily determine the slope and y-intercept of a line. By knowing these two characteristics, we can often sketch the line, find specific points on it, or even find the equation of a line given its slope and y-intercept.

##### More Answers:

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Understanding the Point-Slope Form | A Quick Guide to Writing Equations of Linear Functions