Is it possible for the x-intercept and the y-intercept of a straight line to be at the same point? Why or why not?
What are the x and y intercepts of a line that runs through the origin?
... This is "college" algebra ? Wow.
Why do you have to make degrading comments all the time? Either help or don't.
This is the question...is it possible and why?
And yes this is College Algebra...some of us are better at things other than math. I'm doing great after being graduated for 17 years, a 9 year old, a husband and a full time job. I'm loving my A average thank you.
Agreed, Kelly. Good for you. I think what Reiny was getting at is at the origin the point is (0,0) so it is possible. Not 100% positive though.
The height of a triangle is 3 in. less than 5 times the length of its base. The area is 81 sq.ins. Find the lenght of is base and the height of the triangle.
The coordinate of all relative maxima 2x^4+x^3-33x^2-16x+16
Yes, it is possible for the x-intercept and the y-intercept of a straight line to be at the same point. This occurs when the line passes through the origin, which is the point (0, 0) on a coordinate plane.
To understand why this is possible, let's first explain what x-intercept and y-intercept mean in the context of a straight line.
The x-intercept is the point where the line crosses the x-axis. It occurs when the y-coordinate is 0. In other words, it is the value of x when y is 0.
On the other hand, the y-intercept is the point where the line crosses the y-axis. It occurs when the x-coordinate is 0. In other words, it is the value of y when x is 0.
Now, when the x-intercept and the y-intercept are at the same point, it means that the line crosses both the x-axis and the y-axis at the origin (0, 0). This happens when the line has a slope of 0, which means it is a horizontal line.
A horizontal line has the form y = c, where c is a constant. Since the y-coordinate remains the same for every point on the line, the y-intercept (when x is 0) is also equal to the constant value, resulting in both intercepts being at the point (0, 0).
In summary, the x-intercept and the y-intercept of a straight line can be the same when the line is a horizontal line passing through the origin.