In mathematics, an intercept refers to the point at which a graph intersects the x-axis or the y-axis. The x-intercept is the point at which the graph crosses the x-axis, and the y-intercept is the point at which the graph crosses the y-axis.

To find the x-intercept of a graph, set y = 0 and solve for x. This will give you the x-coordinate of the point where the graph crosses the x-axis.

To find the y-intercept of a graph, set x = 0 and solve for y. This will give you the y-coordinate of the point where the graph crosses the y-axis.

Here are some key points to remember about intercepts:

- The x-intercept is the point (a, 0) where the graph crosses the x-axis.
- The y-intercept is the point (0, b) where the graph crosses the y-axis.
- To find the x-intercept, set y = 0 and solve for x.
- To find the y-intercept, set x = 0 and solve for y.

Practice finding intercepts for different types of graphs, such as linear, quadratic, and exponential functions, to reinforce your understanding of this concept.

Understanding intercepts is important for analyzing graphs and solving equations, so make sure to familiarize yourself with this concept and its applications.

.Study GuideAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations

Algebra (NCTM)

Represent and analyze mathematical situations and structures using algebraic symbols.

Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations

Grade 6 Curriculum Focal Points (NCTM)

Algebra: Writing, interpreting, and using mathematical expressions and equations

Students write mathematical expressions and equations that correspond to given situations, they evaluate expressions, and they use expressions and formulas to solve problems. They understand that variables represent numbers whose exact values are not yet specified, and they use variables appropriately. Students understand that expressions in different forms can be equivalent, and they can rewrite an expression to represent a quantity in a different way (e.g., to make it more compact or to feature different information). Students know that the solutions of an equation are the values of the variables that make the equation true. They solve simple one-step equations by using number sense, properties of operations, and the idea of maintaining equality on both sides of an equation. They construct and analyze tables (e.g., to show quantities that are in equivalent ratios), and they use equations to describe simple relationships (such as 3x = y) shown in a table.