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Yes. A fraction is still a number after all.
Application: say you have y=(1/2)x+6, the slope is 1/2 so you start at 6 on the y-axis and go up one and over 2 and you have your next point (x=1). It's the same thing as saying the value of x is being divided by 2. If you can multiply x by a number, why can't you divide?
a more complex one would be y=(3/4)x+9 in which case, you're both multiplying and dividing. You're multiplying x by 3 and dividing that by 4.
What else can I help you with?
When can you say that the equation is linear?
An equation is linear when it contains only variables of degree 1 and constants. ALL linear equations will be of the form: a1x1+a2x2+a3x3+...+anxn=c where an and c are constants.
What is the difference between a linear equation and an quadratic equation?
A linear equation, when graphed, is always a line. A quadratic is a curve. Also, linear equations are of the form y=mx+b where m and b are arbitrary constants and quadratics are y=(x^2) +mx +b where m and b are arbitrary constants.
Is y equals 5x3 plus 6 linear?
y = 5x3 + 6 is a cubic equation, not a linear equation. Linear equations contain only terms of degree 0 (i.e. constants) and terms of degree 1.
Can linear equations be negative?
Yes, linear equations can yield negative values depending on the values of the variables involved. For example, the equation (y = 2x - 5) can produce negative outputs for (x < 2.5). Additionally, the coefficients and constants in a linear equation can be negative, affecting the overall behavior of the equation. Thus, both the outputs and components of a linear equation can indeed be negative.
How does the method for solving equations with fractional or decimal coefficients and constants compare with the method for solving equations with integer coefficients and constants?
The method is the same.
What are ways to represent linear equations?
One of the most common ways to represent linear equations is to use constants. You can also represent linear equations by drawing a graph.
When can you say that the equation is linear?
An equation is linear when it contains only variables of degree 1 and constants. ALL linear equations will be of the form: a1x1+a2x2+a3x3+...+anxn=c where an and c are constants.
How does a method for solving equations with fractions to decimal point that she's in conference compare with the method for solving equations with integer coefficients and constants?
The method is exactly the same.
If you add two linear equations will you always get a linear equation?
One linear equation: Ax + By = C (A, B, and C are constants) Another linear equation: Dx + Ey = F (D, E, and F are constants) Their sum: (A+D)x + (B+E)y = (C + F) The coefficients (A+D), (B+E), and (C+F) are still constants, so the sum is still a linear equation.
What is the difference between a linear equation and an quadratic equation?
A linear equation, when graphed, is always a line. A quadratic is a curve. Also, linear equations are of the form y=mx+b where m and b are arbitrary constants and quadratics are y=(x^2) +mx +b where m and b are arbitrary constants.
Is y equals 5x3 plus 6 linear?
y = 5x3 + 6 is a cubic equation, not a linear equation. Linear equations contain only terms of degree 0 (i.e. constants) and terms of degree 1.
What is the definition of Simultaneous Linear Equations?
A system of linear equations is two or more simultaneous linear equations. In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables.
Can linear equations be negative?
Yes, linear equations can yield negative values depending on the values of the variables involved. For example, the equation (y = 2x - 5) can produce negative outputs for (x < 2.5). Additionally, the coefficients and constants in a linear equation can be negative, affecting the overall behavior of the equation. Thus, both the outputs and components of a linear equation can indeed be negative.
Are linear equations and functions different?
All linear equations are functions but not all functions are linear equations.
What is the difference between a linear quadratic and a quadratic quadratic?
There is no quadratic equation that is 'linear'. There are linear equations and quadratic equations. Linear equations are equations in which the degree of the variable is 1, and quadratic equations are those equations in which the degree of the variable is 2.
How does the method for solving equations with fractional or decimal coefficients and constants compare with the method for solving equations with integer coefficients and constants?
The method is the same.
Where the given equations are not linear?
Equations are not linear when they are quadratic equations which are graphed in the form of a parabola
