find standard form and slope, if it exists, of each equation
38) y=6x-2
To find the standard form and slope of the equation y = 6x - 2, let's start by representing the equation in standard form.
The standard form of a linear equation is written as Ax + By = C, where A, B, and C are constants and A and B are not both zero.
To convert the given equation y = 6x - 2 to standard form, we need to move the variables to the left side of the equation.
Rearranging the equation, we get:
-6x + y = -2
Now, the equation is in standard form, where A = -6, B = 1, and C = -2.
To find the slope, we can observe that the equation is in slope-intercept form, y = mx + b, where m represents the slope. In this case, the slope is equal to 6.
Therefore, the standard form of the given equation is -6x + y = -2, and the slope is 6.