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The standard form of such an equation is Ax + By + C = 0 or Ax + By = C. When you rearrange this equation to get y by itself on the left side, it takes the form y = MX +b. This is called slope intercept form because m is equal to the slope of the line, and b is the value of y when x = 0, which makes it the y-intercept.
0:19 2:32 Suggested clip Converting from standard form to slope-intercept form | Algebra I YouTubeStart of suggested client of suggested clip Converting from standard form to slope-intercept form | Algebra I
The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y).
The slope of a linear function is calculated by rearranging the equation to its general form, f(x) = MX + c. where m is the slope. The vertex of a quadratic function is calculated by rearranging the equation to its general form, f(x) = a(x h)2 + k. where (h, k) is the vertex.
It is relatively easy to determine whether an equation is a function by solving for y. When you are given an equation and a specific value for x, there should only be one corresponding y-value for that x-value. For example, y = x + 1 is a function because y will always be one greater than x.
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