Algebra Standard Form

Algebra Standard Form The standard form is another way to write the equations. We have many kinds of standard forms of the formulas used in Algebra. For example, the standard form 3x^2 7 + 4x^3 + x^5 is x^5 +4x^3 +3 x^2 7. We know the standard form of a quadratic equation is ax^2 + box =c = 0, here we have a condition that is a 0. We have intercept form and slope intercept forms to write a line in standard forms. Intercept form of a line is: (x /a) + (y/b) = 1 Here, a and b are x and y intercepts Slope intercept form of a line: y = mx + c Here, m is the slope and c is the y intercept. Example 1: Write the equation of a line 3x + 4y = 12 in intercept form. Solution: We know the intercept form of a line that is x/a + y/b = 1 The given equation is 3x + 4y = 12 To write this in the form, we need to divide by 12 (3x/12) + (4y/12) = (12/12) ( x/4 ) + (y/3) = 1 Here, 4 is the x intercept and 3 is the y intercept. Example 2: Write the equation 6x + 2y 6 = 0. Solution: We know the slope-intercept form of a line that is y = mx + c The given equation is 6x + 2y 6 =0 2y = -6x + 6 y = - 3x + 3 Here, -3 is the slope of the line and 3 is the y intercept.