The slope of a line is a measure of how steep the line is. It is represented by the letter "m" in the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

The slope of a line can be calculated using the formula:

**m = (y _{2} - y_{1}) / (x_{2} - x_{1})**

*(x*and_{1}, y_{1})*(x*are two points on the line._{2}, y_{2})- Substitute the coordinates of the two points into the formula to find the slope.

The slope of a line can be interpreted as follows:

- If the slope is positive, the line slants upwards from left to right.
- If the slope is negative, the line slants downwards from left to right.
- If the slope is zero, the line is horizontal.
- If the slope is undefined, the line is vertical.

Calculate the slope of the following lines:

To graph a line using its slope, start by plotting the y-intercept (the point where the line crosses the y-axis). Then, use the slope to find additional points on the line by moving up or down and to the right from the y-intercept. Connect the points to graph the line.

Be sure to check your understanding of the material and practice calculating slope with additional problems to reinforce your learning!

.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.