Table of Contents
Which point lies on the graph of the equation − 2x 5y 20?
As the x-coordinate of the point is 5/2 times its ordinate, therefore, x = 5/2 y. Now putting x = 5/2 y in 2x + 5y = 20, we get, y = 2. Therefore, x = 5. Thus, the required point is (5, 2).
Where does the line cuts the x-axis?
Explanation: The line cuts the x-axis and y-axis at the x-intercept and the y-intercept.
What is the intersection of the x-axis and y-axis in the coordinate plane?
the origin
The point where the x- and y-axis intersect is called the origin.
Is the horizontal line X or Y?
A horizontal line is a straight line that is drawn from left to right or right to left and it is parallel to the x-axis in the coordinate plane. In other words, a straight line that has an intercept only on the y-axis, not on the x-axis is called a horizontal line.
How do you find the equation of a line?
To find an equation of a line given the slope and a point.
- Identify the slope.
- Identify the point.
- Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .
- Write the equation in slope-intercept form.
What is the slope of 2x 5y 20?
Reorder −4 – 4 and 2×5 2 x 5 . Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 25 .
What does it mean by cut the x-axis?
To find the position of a graph we find where the graph cuts the x-axis and the y-axis. When a graph cuts the y-axis its x-coordinate is 0. We substitute the value of the x-coordinate, 0, into the equation to find its y-coordinate and hence the point. When the graph cuts the x-axis its y-coordinate is 0.
How do you find X and Y coordinates?
To find out the coordinates of a point in the coordinate system you do the opposite. Begin at the point and follow a vertical line either up or down to the x-axis. There is your x-coordinate. And then do the same but following a horizontal line to find the y-coordinate.
How do you find a horizontal line?
The equation of a horizontal line passing through a point (a, b) is y = b, where ‘b’ is constant because in the equation y = mx + b, where ‘b’ is the y-intercept, there is no change in the value of y on the horizontal line and the slope is zero, therefore, the equation of a horizontal line is y = b.