y= 2x -6
To be able to write the equation of a line in standard form. In particular, our book would not have cleared the fraction.
find equation of the line. write equation in slope intercept form. (5,5) parallel line (3,13) and (12,13)
y = b
y=b
2x + 3y = 6
y= 2x -6
Straight line equations have two variables in the form of x and y
There is more than one "standard form". If the equation is not already solved for "y", solve it for "y". In that case, you'll get an equation of the following form (known as "slope-intercept form"): y = mx + b Where "m" is the slope of the line, and "b" is the y-intercept (the point where the line intercepts the y-axis).
Yes, the graph of a linear equation can be a line. There are special cases, sometimes trivial ones like y=y or x=x which are linear equations, but the graph is the entire xy plane. The point being, linear equations most often from a line, but there are cases where they do not.
To be able to write the equation of a line in standard form. In particular, our book would not have cleared the fraction.
There are several equations; sometimes one can be more appropriate, sometimes another, depending on what data is given. For example, an equation solved for "y", i.e. of the form y = mx + b directly shows you the line's slope (which is "m") and the y-intercept (which is "b"). On the other hand, a general form of an equation of a line is ax + by = c This form is able to represent vertical lines, which can't be expressed with the slope-intercept form. There are several other equations for a line as well.
find equation of the line. write equation in slope intercept form. (5,5) parallel line (3,13) and (12,13)
It does not matter because they are equivalent. You can always convert from a slope-intercept form to a standard linear form (and vice versa).
It was the Frenchman Rene Descartes who intoduced straight line equations in the form of y = mx+c whereas m is the slope and c is the y intercept
It depends on what constitutes different looking: how similar must the equations be before you see that they are the same. If both equations are in the point-slope form, the coefficients of one equation must be a fixed multiple of the coefficients of the other.
y = b