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.
A vertical line on a graph has an infinite slope, and no y-intercept.
y = b
y=b
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 different standard forms for different things. There is a standard form for scientific notation. There is a standard form for the equation of a line, circle, ellipse, hyperbola and so on.
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.
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.
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
A vertical line on a graph has an infinite slope, and no y-intercept.
The slope of a vertical line is undefined and so there cannot be a slope-intercept form of the equation.
If a line has an undefined slope, it means it is a vertical line. For a vertical line passing through the point (1, 3), the equation is written in the form ( x = a ), where ( a ) is the x-coordinate of any point on the line. Therefore, the equation of the line would be ( x = 1 ).
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.
the formula for standard form is Ax+By=C
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.
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.
The standard form for the equation of a straight line is ax + by + c = 0
y = b