It can't. These two equations aren't equivalent.Andy21 said:Homework Statement
Show how the equation of a line y-2=4x-4 can be converted into the equivalent line equation of 4x+y-6=0.
Andy21 said:Homework Equations
The Attempt at a Solution
The closest I have got to it is 4x-y-2=0 by adding and subtracting terms to both sides.
A line equation is a mathematical representation of a straight line on a graph. It is typically written in the form y = mx + b, where m is the slope of the line and b is the y-intercept.
To convert from slope-intercept form (y = mx + b) to standard form (Ax + By = C), multiply both sides of the equation by the denominator of the slope. Then, move the x term to the left side and the y term to the right side, and combine like terms.
To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), first solve for y by adding y1 to both sides of the equation. Then, simplify to get the equation in the form y = mx + b.
Yes, it is possible to convert from one line equation to another without graphing. This can be done by using algebraic methods, such as solving for y and rearranging the equation, as described in the previous questions.
No, there is no specific order in which you should convert line equations. The method you use will depend on the specific forms of the equations you are working with. It may be helpful to simplify the equation as much as possible before converting to a different form.