How to write the x-intercept
To write the x-intercept, we need to understand its definition first
To write the x-intercept, we need to understand its definition first.
Definition: The x-intercept is the point on a graph where the curve intersects or crosses the x-axis. It represents the x-coordinate of the point where the graph intersects the x-axis, or in other words, where the y-coordinate is zero.
To write the x-intercept, we follow these steps:
Step 1: Set the equation of the graph equal to zero. This means that we set the y-coordinate to zero, as the x-intercept occurs when the y-coordinate is zero.
Step 2: Solve the equation for the x-values that make the y-coordinate zero. This can be done by performing algebraic operations to isolate the variable x.
Step 3: Express the x-intercept as an ordered pair (x, 0), where the x-coordinate is the value obtained from step 2, and the y-coordinate is always zero since it lies on the x-axis.
Example:
Let’s consider the equation of a quadratic function: y = x^2 + 3x – 4.
Step 1: Set y to zero.
0 = x^2 + 3x – 4
Step 2: Solve the equation.
Factoring or using the quadratic formula, we can find that the solutions are x = -4 and x = 1.
Step 3: Express the x-intercepts as ordered pairs.
The x-intercepts are (-4, 0) and (1, 0).
So, to write the x-intercept, we express it as an ordered pair, where the x-coordinate is the value obtained by solving the equation, and the y-coordinate is always zero since it lies on the x-axis.
More Answers:
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Understanding the x-intercept in math and how to find it on a graph or line