How do you find the equation of a line that goes up and down?

How do you find the equation of a line that goes up and down?

The equation of a vertical line always takes the form x = k, where k is any number and k is also the x-intercept . (link) For instance in the graph below, the vertical line has the equation x = 2 As you can see in the picture below, the line goes straight up and down at x = 2.

How do you find the y coordinate of a point?

Identifying the y-coordinate To find the y-coordinate of a point on a graph: Draw a straight line from the point directly to the y-axis. The number where the line hits the axis is the value of the y-coordinate.

Is Y-axis up and down?

The horizontal axis, or x-axis, goes from left to right and works exactly like a regular number line. The vertical axis, or y-axis, goes—ready for a shock? —up and down. The two axes intersect at the origin (0, 0).

How do you find the y-intercept when given two coordinates?

Steps

1. Calculate the slope from 2 points. For Example, Two points are (3, 5) and (6, 11)
2. Substitute the slope(m) in the slope-intercept form of the equation.
3. Substitute either point into the equation. You can use either (3,5) or(6,11).
4. Solve for b, which is the y-intercept of the line.
5. Substitute b, into the equation.

What is the equation of a straight vertical line?

Vertical lines Each point on a vertical line has the same x -coordinate. If two points have the same x -coordinate, c , the equation of the line is x=c . The x -intercept of a vertical line x=c is the point (c,0) .

How do you find the y value?

Finding the y value is easy if you know the slope of the line and the x coordinate. Review the equation for the slope of a line. The equation for finding the slope is: m = [y1 – y2] / [x1 – x2]. If you know x, you can solve for y to find the y value for the slope of the line.

How to calculate y coordinate on x axis?

For point A, move to the right 3 units on the x-axis to get an x-coordinate of 3, then move up 4 units on the y-axis to get a y-coordinate of 4. For point B, move to the left 4 units on the x-axis to get an x-coordinate of -4. Since there is no vertical distance to move on the y-axis the y-coordinate is 0.

Which is the horizontal axis x or Y?

X and y axis The x-axis and y-axis are axes in the Cartesian coordinate system. Together, they form a coordinate plane. The x-axis is usually the horizontal axis, while the y-axis is the vertical axis.

Is the y-coordinate of an x-intercept always 0?

The y-coordinate of an x-intercept is always 0, and the x-coordinate of a y-intercept is always 0. Given an equation, plugging in x = 0 will yield the y-intercept and plugging in y = 0 will yield the x-intercept. Find the coordinates of the x- and y-intercepts of the graph of y = 2x + 6.

How to find the real number for the x axis?

Starting from the origin, follow the steps below to find the real number for each coordinate in the ordered pair. For point A, move to the right 3 units on the x-axis to get an x-coordinate of 3, then move up 4 units on the y-axis to get a y-coordinate of 4.