help please
in what form is the following linear equation written: 3x-2y=4
Slope-intercept
Point-slope
Standard
Rise-run
In the standard ( or general ) form the linear equation is written as:
A x + B y = C
In this case:
A = 3
B = - 2
C = 4
Standard form
ahh okay thanks
standard
To determine the form in which the given linear equation is written, let's review the different forms of linear equations:
1. Slope-intercept form: The slope-intercept form of a linear equation is given by y = mx + b, where m represents the slope of the line and b represents the y-intercept. In this form, "m" is the coefficient of the x-term, and "b" is the constant term.
2. Point-slope form: The point-slope form of a linear equation is given by y - y₁ = m(x - x₁), where (x₁, y₁) represents a point on the line and "m" represents the slope of the line. This form allows you to write an equation using a specific point on the line and the slope.
3. Standard form: The standard form of a linear equation is given by Ax + By = C, where A, B, and C are constants, and A and B are not both zero. This form expresses the equation in terms of the coefficients A, B, and C.
4. Rise-run form: The rise-run form is not a specific form of a linear equation, but rather a way to determine the slope of a line by considering the change in the y-coordinate (rise) divided by the change in the x-coordinate (run) between two points on the line.
Now, let's analyze the given linear equation: 3x - 2y = 4
This equation is written in the standard form (Ax + By = C), where A = 3, B = -2, and C = 4.
Therefore, the correct answer is: Standard form.