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Depdendent Variable

Number of equations to solve:

Equ. #1:

Equ. #2:

Equ. #3:

Equ. #4:

Equ. #5:

Equ. #6:

Equ. #7:

Equ. #8:

Equ. #9:

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Enter inequality to solve, e.g. 2x+3>4

Enter inequality to graph, e.g. y<3x^2-1

Dependent Variable

Number of inequalities to solve:

Ineq. #1:

Ineq. #2:

Ineq. #3:

Ineq. #4:

Ineq. #5:

Ineq. #6:

Ineq. #7:

Ineq. #8:

Ineq. #9:

Solve for:

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Positive and Negative Slopes

A line with a positive slope slants upward as we move from left to right on the graph.

Each line shown has a positive slope.

To verify this, we can choose any two points on a line and find the slope.

For example, we will find the slope of line A.

Example 1

Find the slope of line A.

Solution

Choose any two points on line A.

For example, choose (-2, -5) and (4, 5).

Let (x₁, y₁) = (-2, -5) and (x₂, y₂) = (4, 5).	m
Substitute the values in the slope formula.
Simplify.
Reduce.
The slope of line A is a positive number, .

Line A slants upward as we move from left to right on the graph, so we expected a positive slope.

A line with a negative slope slants downward as we move from left to right on the graph.

Each line shown has a negative slope.

To verify this, we can choose any two points on a line and find the slope.

For example, we will find the slope of line J.

Example 2

Find the slope of line J.

Solution

Choose any two points on line J. For example, choose (-4, 0) and (4, -6).

Let (x₁, y₁) = (, 0) and (x₂, y₂) = (4, -6).	m
Substitute the values in the slope formula.
Simplify.
Reduce. The slope of line J is a negative number,

Line J slants downward as we move from left to right on the graph, so we expected a negative slope.