Question

# Determine whether is sometimes , always or never true . Justify your reasoning.

Hint:

### Simplify means to make it simple. In mathematics, simplify is the reduction of an expression/fraction into irreducible forms.

## The correct answer is: Here, there are no common values in the terms of the expression. Hence, reduction to simpler forms is not possible. Thus, the given expression is false.

### Step 1 of 1:

The given expression is:

This is never true. To cancel out a value from an expression it is necessary that it should be present in each term of that particular expression.

Here, there are no common values in the terms of the expression. Hence, reduction to simpler forms is not possible. Thus, the given expression is false.

A rational expression is simply a quotient of two polynomials. Or is other words, it is a fraction whose numerator and denominator are polynomials.

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### Write the equation in slope-intercept form of the line that passes through the points (5, 4) and (-1, 6).

The slope intercept form is y = mx + b, where m represents the slope and b represents the y-intercept. We can draw the graph of a linear equation on the x-y coordinate plane using this form of a linear equation.

Steps for determining a line's equation from two points:

Step 1: The slope formula used to calculate the slope.

Step 2: To determine the y-intercept, use the slope and one of the points (b).

Step 3: Once you know the values for m and b, we can plug them into the slope-intercept form of a line, i.e., (y = mx + b), to obtain the line's equation.

### Write the equation in slope-intercept form of the line that passes through the points (5, 4) and (-1, 6).

The slope intercept form is y = mx + b, where m represents the slope and b represents the y-intercept. We can draw the graph of a linear equation on the x-y coordinate plane using this form of a linear equation.

Steps for determining a line's equation from two points:

Step 1: The slope formula used to calculate the slope.

Step 2: To determine the y-intercept, use the slope and one of the points (b).

Step 3: Once you know the values for m and b, we can plug them into the slope-intercept form of a line, i.e., (y = mx + b), to obtain the line's equation.