Tutor profile: Nimalan S.

What is the slope of the line 4x - 2y = 12?

1) The first goal is to put this equation into the slope-intercept form, which is y = mx + b. This can be done by either subtracting 4x from both sides or by adding 2y to both sides, followed by subtracting 12 from both sides. For the purpose of this example, I will subtract 4x from both sides, so that the equation looks like this: -2y = -4x + 12 2) Divide by -2 on both sides, giving you the final slope-intercept form: y = 2x -6 3) In the slope-intercept form, the value of m is equal to the slope. In this equation, m = 2. Therefore, the slope of this equation is 2.

Solve for x : 4x + 6 * 2 + 3 * 3 - 5 = 32

1) First simplify terms. Following the order of operations, you would multiply 6 with 2 and 3 with 3. That would result in 4x + 12 + 9 - 5 = 32. 2) Following order of operations, you can add 12 + 9: 4x + 21 - 5 = 32 3) Following order of operations, you can subtract 5 from the previously calculated 21: 4x+16=32 4) You want to isolate the x value. To do this, first subtract 32 from both sides: 4x+16-(16)=32-(16) -> 4x = 16 5) To finally solve for x, divide both sides of the equation by 4: 4x/(4) = 16/(4) -> x = 4 6) x = 4

Please select the proper nouns in the following sentence: I went to Tampa over the summer so that I can visit my friend Joel.

The proper nouns in the sentence above are Tampa (the name of an individual place) and Joel (the name of an individual person).