What if there is no X in Y MX B?

What if there is no X in Y MX B?

If an equation of a line in slope-intercept form (y=mx+b) has no x variable, this means that the slope is 0. Any number being multiplied by 0 equals 0. When m=0, this means that the “mx” portion of the line’s equation is 0.

What is the x intercept in y MX B?

We can use the slope-intercept form (y = mx + b). The x-intercept is found by setting y = 0, because that will give us the x-value at which the line crosses the x-axis.

What is the x-value at the y-intercept?

zero
The y-intercept is the point at which the graph crosses the y-axis. At this point, the x-coordinate is zero. To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y.

What happens when u apply the slope formula to a horizontal line?

Let’s consider any horizontal line. No matter which two points you choose on the line, they will always have the same y-coordinate. So, when you apply the slope formula, the numerator will always be 0. Zero divided by any non-zero number is 0, so the slope of any horizontal line is always 0.

What happens if there is no y-intercept?

If a line has no y intercept, then it can only be parallel to the y axis and therefore has an equation of the form x=a for some constant a .

Why is the x-intercept important?

The x- and y-intercepts of a line, or linear equation intercepts, are often used in problems involving lines and their graphs. Linear equation intercepts are important points to be able to understand and decipher in applications of linear equations problems and can also be used when graphing lines.

Is x-intercept the same as slope?

If we’re talking about a graph in the standard x-y plane . . . Slope (aka rise over run, gradient) measures how fast y changes with respect to x. An x-intercept is a point where the graph touches the x axis. A y-intercept is a point where the graph touches the y axis.

What happens when you apply the slope formula to points on a vertical line?

Vertical line would be parallel to y- axis, hence its equation would be x= c . The slope of vertical line is undefined, hence there is no point slope form as such.

What happens if the slope is undefined?

The slope of a line is undefined if the line is vertical. If you think of slope as rise over run, then the line rises an infinite amount, or goes straight up, but does not run at all.

What is the y-intercept if the slope is 0?

Explanation: If the slope of a line is zero then the line is horizontal, and if the y-intercept is -2, then the horizontal line goes through: y=−2 , which is also the equation of such line.