the line is going straight up and down (vertically)
A vertical line has an undefined slope. If a line is vertical, the horizontal coordinate, commonly known as the x coordinates, must all be the same. If not, the line would not be vertical.
The slope of a straight line is calculated by taking the difference in the y-coordinates (rise) of two points on the line and dividing it by the difference in the x-coordinates (run) of the same two points. This is expressed mathematically as ( m = \frac{y_2 - y_1}{x_2 - x_1} ), where ( m ) is the slope, and ( (x_1, y_1) ) and ( (x_2, y_2) ) are the coordinates of the two points. A positive slope indicates the line rises from left to right, while a negative slope indicates it falls. If the line is horizontal, the slope is zero; if vertical, the slope is undefined.
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
The equation does not have and y variable in it: it is of the form x = c. Alternatively, the x coordinates of both points are the same and the y coordinates are not.
The line is vertical on the graph. Its slope is infinite.
A vertical line has an undefined slope. If a line is vertical, the horizontal coordinate, commonly known as the x coordinates, must all be the same. If not, the line would not be vertical.
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
No. A horizontal line has a slope of 0. A vertical line has an undefined slope. Let's say you have a vertical line with the points (3,-2) and (3,4). The slope is (y1-y2)/(x1-x2) = (-2-4)/(3-3) = -6/0 = undefined. Notice that x is the same for both points. A line in which all points have the same value for x is a vertical line and as such has an undefined slope.
The slope of a line and the coordinates of a point on the line.The slope of a line and the coordinates of a point on the line.The slope of a line and the coordinates of a point on the line.The slope of a line and the coordinates of a point on the line.
The equation does not have and y variable in it: it is of the form x = c. Alternatively, the x coordinates of both points are the same and the y coordinates are not.
No.
Points: (6, 4) and (6, 8)Slope: 0 because it is a vertical straight line that is parallel to the y axis
The line is vertical on the graph. Its slope is infinite.
A vertical line has a slope of infinity.
Points: (8, 3) and (8, 7) Slope: 0 It will be a straight vertical line parallel to the y axis
The slope of a vertical line is undefined. Horizontal slope is 0.
y=mx+b