Question

# If then find the quotient from the following four option, when A is divided by B.

- x − 1
- x + 1
- 2x + 1
- 2x - 1

Hint:

### The expansions of certain identities are:

We are asked to find the quotient from the given options when A is divided by B.

## The correct answer is: x + 1

### Step 1 of 2:

The given expressions are:

When A is divided by B, we have:

Step 2 of 2:

Simplify the expression and cancel out the common factors;

= x +1

Hence, the quotient is x + 1.

The correct answer is option b.

Here, we split the values in the initial steps to group certain terms. This was followed by using the identities to factorize them out.

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

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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.