in what form is the following linear equation written?
3x-2y=4
A.rise-run
B.standard
C.slope-intercept
D.point-slope
standard
the correct answer is standard form.
standard
Hint:
slope-intercept: y = mx+b
point-slope: (y-k) = m(x-h)
standard: Ax+By = C
rise-run: ? never heard of it.
3x-2y+4
The given linear equation, 3x - 2y = 4, is written in standard form.
To determine the form of a linear equation, it is essential to understand the characteristics of each form:
A. Rise-Run form (also known as slope form) expresses a linear equation in terms of the slope and a point on the line. It is written as y = mx + b, where m represents the slope and b is the y-intercept. This form is not the case in the given equation.
B. Standard form represents a linear equation as Ax + By = C, where A, B, and C are constants. In the equation 3x - 2y = 4, each term is written with both x and y variables and is equal to a constant. Therefore, it is in standard form.
C. Slope-intercept form is written as y = mx + b, where m represents the slope and b is the y-intercept. This form is not applicable to the given equation since it is not solved specifically for y.
D. Point-slope form expresses a linear equation using the slope (m) and a specific point (x₁, y₁) on the line. It is written as y - y₁ = m(x - x₁). The given equation is not in this form.
In conclusion, the linear equation 3x - 2y = 4 is written in standard form.