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How can you use the standard form of a linear equation to tell if the graph is a horizontal line or vertical line?
In the standard form of a linear equation, (Ax + By = C), a horizontal line occurs when (A = 0) (resulting in the equation (By = C)), indicating that the value of (y) remains constant for all (x). Conversely, a vertical line occurs when (B = 0) (leading to the equation (Ax = C)), indicating that the value of (x) remains constant for all (y). Thus, checking the coefficients (A) and (B) allows you to determine the orientation of the line.
How do you find the slope intercept and standard forms of a line when the slope is undefined and you are given the coordinates 2 and 4?
When the slope is undefined, you know the line has to be vertical. Vertical lines only have an x in their equations. When you have the coordinates (2,4) with a vertical line, the equation for the slope intercept AND standard form would be the same thing: x=2
How would you write an equation of a line in standard form?
the formula for standard form is Ax+By=C
What is the equation of a horizontal and a vertical line using standard slope form?
We usually denote the slope of a line as M. Horizontal lines have a slope of zero. Mhorizontal line = 0 Verticle lines have a slope that is undefined. Note that the slope is not infinite, but is undefined. Mvertical line = undefined To write the equation of a horizontal or vertical line, we need to know if it's going to be a slope-intercept form or a point-slope form.
Why cant you find ymx b to find the equation of a vertical line?
Because in a vertical line the slope is undefined, there is no "y" answer or "b" value and the line is in the form of x = some number such as x = 3 which is a vertical line.
4. Write an equation in standard form for a line satisfying the given condition. Through -2 and 9 and -2 and 7.?
The standard form is Ax + By = C. The slope of the line is (9-7)/(-2 - (-2)) or 2/0. This indicates that this is a vertical line whose x intercept is -2. The equation of the line is then x = -2.
How do you find the slope intercept and standard forms of a line when the slope is undefined and you are given the coordinates 2 and 4?
When the slope is undefined, you know the line has to be vertical. Vertical lines only have an x in their equations. When you have the coordinates (2,4) with a vertical line, the equation for the slope intercept AND standard form would be the same thing: x=2
Explain why the equation of a vertical line cannot be in slope-intercept form?
A vertical line on a graph has an infinite slope, and no y-intercept.
What is the slope intercept form when a vertical line is passing through 5 -8?
The slope of a vertical line is undefined and so there cannot be a slope-intercept form of the equation.
How do you make an equation with an undefined slope?
An equation with an undefined slope is typically in the form x = a, where 'a' is a constant number. This indicates a vertical line on the coordinate plane, where every point on the line has the same x-coordinate and no defined slope because the line is perfectly vertical.
How would you write an equation of a line in standard form?
the formula for standard form is Ax+By=C
What is the standard form of the equation for a vertical line?
Since the line is verticle, the only axis that can define the line is the x-axis. Therefore the equation of a verticle line is always in the form of x=a, where a is some constant. For example, x=1; this means that the verticle line passes through the point (1,0)i.e the x axis at 1.
What is the equation of a horizontal and a vertical line using standard slope form?
We usually denote the slope of a line as M. Horizontal lines have a slope of zero. Mhorizontal line = 0 Verticle lines have a slope that is undefined. Note that the slope is not infinite, but is undefined. Mvertical line = undefined To write the equation of a horizontal or vertical line, we need to know if it's going to be a slope-intercept form or a point-slope form.
Why cant you find ymx b to find the equation of a vertical line?
Because in a vertical line the slope is undefined, there is no "y" answer or "b" value and the line is in the form of x = some number such as x = 3 which is a vertical line.
What is the standard form of 2x-7y 14o?
The standard form for the equation of a straight line is ax + by + c = 0
Which of the following is the standard form of the equation of a horizontal line?
y = b
which of the following is standard form of the equation of a horizontal line?
y=b
