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The slope-intercept form of a linear equation is where one side contains just "y". So, it will look like: y = mx + b where "m" and "b" are numbers. This form of the equation is very useful. The coefficient of "x" (the "m" value) is the slope of the line. And, the constant (the "b" value) is the y-intercept at (0, b)
This form of the linear equation is called the slope-intercept form, and the values of m and c are real numbers. The slope, m, represents the steepness of a line. The slope of the line is also termed as gradient, sometimes. The y-intercept, b, of a line, represents the y-coordinate of the point where the graph of the line intersects the y-axis.
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The forms y=mx+b and y=mx+a are essentially the same, except for the naming of the constant term. The form y=mx+b means slope m and y-intercept b; similarly, the form y=mx+a means slope m and y-intercept a. The form y=m(x-a) is essentially different from the other two forms, and means slope m and x-intercept (instead of y-intercept) a.
Slope-intercept form is just one of a number of different forms of linear equations, albeit it is the most commonly used form. Depending on the context that a linear equation is being used in, certain forms can be more beneficial to use. Other commonly used forms include point-slope form and standard form.
this video is to find the equation of a line in the form of slope-intercept equation, where "Y" = "the slope of the line (Y minus Y divided by X minus X from two different random point in the line)" times "X" plus "the Y intercept (where the line touches the Y-axis)".
The slope intercept form is probably the most frequently used way to express equation of a line. To be able to use slope intercept form, all that you need to be able to do is 1) find the slope of a line and 2) find the y-intercept of a line.
The slope-intercept form is the most "popular" form of a straight line. Many students find this useful because of its simplicity. One can easily describe the characteristics of the straight line even without seeing its graph because the slope and y-intercept can easily be identified.
Slope Intercept Form of an Equation of a Line. The slope–intercept form of an equation of a line with slope m and y-intercept, \((0,b)\) is \(y=mx+b\) This page titled 3.3: Slope Intercept Form is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Stanislav A. Trunov and Elizabeth J. Hale.
What is Slope Intercept Form in Math? The slope intercept form in math is one of the forms used to calculate the equation of a straight line, given the slope of the line and intercept it forms with the y-axis. The slope intercept form is given as, y = mx + b, where 'm' is the slope of the straight line and 'b' is the y-intercept.
