(877) 999-2681  | BECOME A TUTOR | BECOME A STUDENT  |  Sign In
Search 70,340 tutors SEARCH
WyzAnt Tutoring Tutor Tutor United States

## Physicist Maria - Specializing in Physics, Astronomy, Mathematics

### Broomfield, CO (80020)

 Travel Radius 20 miles Hourly Fee \$40.00 Discount \$34.00 - \$38.00 Save up to 15%
 Background Check Passed 8/20/2012 Your first hour with any tutor is always 100% refundable!

# Maria's Responses in WyzAnt Answers

#### How to write an equation for the line in point-slope form and then re-write in slope-intercept form.

A line passes through the given points (-1,0),(1,2). Write an equation for the line in point-slope form. Then rewrite the equation in slope-intercept form.

+ more- less
Asked by Joanne from Lake Forest, CA
20

The first thing we want to do is to find the slope between these two points.  The equation for the slope, m, is:

m=rise/run=(y2-y1)/(x2-x1).

Let the first point (-1,0)=(x1,y1) and the second point (1,2)=(x2,y2), then

m=(2-0)/(1-(-1))=2/2=1, so the slope between these two points is 1.

Now, we can write the equation of the line in point-slope form, where m is the slope:

y-y1=m(x-x1)

y-0=1(x-(-1))

y-0=1(x+1) or y=1(x+1), which is the equation of the line in point-slope form.  Note: Instead of (x1,y1), you could also use (x2,y2).  Your point-slope form equation will then look like: y-2=1(x-1), which will still give you the same equation for the slope-intercept form once you rearrange the equation.

The equation for slope-intercept form is, where m is the slope and b is the y-intercept:

y=mx+b

So we just want to rearrange our equation of the line in point-slope form so that it looks like the equation of the line in slope-intercept form.  To do that, we re-write y=1(x+1) as:

y=1x+1 where the 1 was distributed through the parenthesis.  So the equation of the line in slope-intercept form is:

y=x+1

And for this equation, we see that b=1, so the equation goes through the y-axis at y=1.

Hope that helps!

#### How to use point-slope form when you are given two sets of points?

Using point-slope form, find the equation of the following points: (2,3) and (5,1)

+ more- less
Asked by Whitney from Sandy, UT
10

The point slope form is written like this:

y-y1=m(x-x1) where m is the slope, and (x1,y1) can be either one of the two points you are given.  First, we need to find the slope m from the given points.

The slope m=rise/run=(y2-y1)/(x2-x1). Let (2,3)=(x1,y1) and (5,1)=(x2,y2).  Then the slope is:

m=(1-3)/(5-2)=-2/3

Now put the point (2,3) in the point-slope equation along with the slope m to find the equation of the line between the two points.

y-3=(-2/3)(x-2)   Now distribute -2/3 through the parentheses, and add 3 to both sides

y=(-2/3)x+(4/3)+3

y=(-2/3)x+13/3    The term 13/3 is (4/3)+3 written in fraction form.  This is the equation of the line in a form called slope-intercept form.  In slope-intercept form, the slope is still -2/3, and the place where the line intercepts the y-axis is 13/3.

Hope that helps a bit!

#### 2x * -1= x + 2 34

two x -1 over 3 equals x
+two over 4

please show me how to work this problem

+ more- less
Asked by Sundar from South Fallsburg, NY
10

The problem I believe you are trying to solve is:

(2x-1)/3=(x+2)/4

The first step we want to take is to cross multiply.  When we do that, the result is:

4(2x-1)=3(x+2)

Now we distribute the 4 and 3 through the parentheses:

8x-4=3x+6

Next we solve the equation for x by isolating x on one side of the equation.  First I'll add 4 to both sides of the equation:

8x=3x+10

Then subtract 3x from both sides of the equation

5x=10

Now divide by 5, and you get x=2

You can double check the answer by plugging x=2 back in to the original equation. When we do, we find that both sides of the equation are equal to each other, meaning our solution is correct!

#### c=3t+8/t for t

c=3t+8/t for t

+ more- less
Asked by Sonja from Houston, TX
10

Here is a Hint:

Multiply the whole equation by t.  The result will then be:

ct=3t2+8 (subtract ct from both sides)

0=3t2-ct+8

Now apply the quadratic formula to solve for t.

#### solving equations with variables 1/3x + 2/3 = 5/3x

solving equations with variables 1/3x + 2/3 = 5/3x

+ more- less
Asked by Jimmy from Stanton, CA
00

It is important to use parentheses when multiplying/dividing by fractions.  Do you want to solve:

(1/3)x+2/3=(5/3)x

or

1/(3x)+2/3=5/(3x)

The answer will be different depending on where the parentheses are placed.  In the first equation, the fractions are being multiplied by x, and in the second equation, x is in the denominator of the fraction.

## Other Broomfield, CO Tutors

### Maria's Hourly Rate

Hourly Fee: \$40.00

Save up to 15% with a discount package

Cancellation: 4 hours notice required

#### How do I receive a discount?

Save between 5 and 15% on tutoring by purchasing credit with one of our prepaid discount packages. You can buy one of our standard 5, 10 or 15% packages or customize your own package based on how much tutoring you need. The credit you purchase can be used towards any tutor at any time and does not expire. If you do not use the entire package, we will simply deduct what you did spend on tutoring from your original purchase price and give you a refund. Discount packages start as low as \$190.

Credit For Only You Save
\$200 - \$399 \$190 - \$379 5%
\$400 - \$999 \$360 - \$899 10%
\$1,000 + \$850 + 15%

Your first hour with any tutor is protected by our Good Fit Guarantee: You don't pay for tutoring unless you find a good fit!

## Background Check Status for Maria W.

Maria W. passed a background check on 8/20/2012. You may run an updated background check on Maria once you send an email.