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Why cant all linear equations be written in point slope form?
Not all linear equations can be directly expressed in point-slope form because this form requires a specific point on the line and the slope. However, some linear equations, like vertical lines, do not have a defined slope (infinite slope), making it impossible to represent them in point-slope form. Therefore, while most non-vertical linear equations can be converted to point-slope form, vertical lines present an exception.
What are the three forms of a linear equation?
1. Slope-intercept form (most commonly used in graphing) y=mx+b m=slope b=y-intercept 2. Standard form ax+by=c 3. Point slope form (most commonly used for finding linear equations) y-y1=m(x-x1) m=slope one point on the graph must be (x1,y1)
When writing linear equations how do you determine which form of a line to use?
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).
What are the different ways of graphing linear equations in two variables?
slope intercept form, rise over run
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
Why can all linear equations that describe functions be written in point slope form?
Because a linear equation is, by definition, a straight line. Any line can be defined by selecting any one point on the line and the slope of the line.
What is the importance of slope intercept form?
makes it very easy to graph linear equations
What are the three forms of a linear equation?
1. Slope-intercept form (most commonly used in graphing) y=mx+b m=slope b=y-intercept 2. Standard form ax+by=c 3. Point slope form (most commonly used for finding linear equations) y-y1=m(x-x1) m=slope one point on the graph must be (x1,y1)
When writing linear equations how do you determine which form of a line to use?
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).
What are the different ways of graphing linear equations in two variables?
slope intercept form, rise over run
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
What is the point slope form of an equation?
Point-slope form is just another way to express a linear equation. It uses two (any two points that fall on the line) and the slope of the line (Therefore the name point-slope form).y2 - y1 = m(x2 - x1)...with m as the slope.
Why isn't 1 always my slope?
That's because lines, or curves, can have different slopes.
What is the equation in slope intercept form of the line that has a slope of 5 and y intercept of -3?
8
Which of the following is the slope-intercept form of the equation?
The slope-intercept form of the equation is y = mx + b, where m represents the slope and b represents the y-intercept. It is used to graph linear equations easily.
Is it possible to have two different looking equations in the same version of point slope form for the same line?
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.
What are the different kinds of systems of linear equations?
Standard form: Ax + By = C, where A and B are non-zero constants. Slope-intercept form: y = mx + b, where m is the slope, and b is the y-intercept.
