Enable contrast version

Tutor profile: Jennifer R.

Inactive
Jennifer R.
Teacher for 13 years
Tutor Satisfaction Guarantee

Questions

Subject:Pre-Algebra

TutorMe
Question:

A line has a slope of 2 and passes through the point (0,6). What is the equation of the line in slope-intercept form?

Inactive
Jennifer R.

This question requires us to use two different formulas - point-slope formula and slope-intercept formula. Point slope formula is used when we know the slope of a line and any point on the line. It is written y-y1=m(x-x1) where m represents the slope and y1 and x1 come from the point on the line (x1,y1). Slope-intercept formula is used when we know the slope of a line and the y-intercept. It is most commonly used to graph lines. The formula for it is y=mx+b where m represents the slope of the line and b represents the y-intercept (where the line passes through the y-axis). Now, let's look at the question. The question gives us the slope and one point on the line, so we need to start with the point slope formula. We know the slope is 2, so we will put in a 2 for the m in the formula. The point we are given is (0,6). Remember all ordered pairs are written in the form (x,y). That means the x in our point is 0 and the y is 6. We can plug those two numbers in for x1 and y1 in the formula respectively. y-6=2(x-0) To change this formula to slope-intercept, we need to start by using the distributive property to multiply our slope, 2, by what appears in the parenthesis. 2 times x = 2x and 2 times 0 = 0 Now we have y-6=x+0 The final step is to get y on a side by itself. To do that, we need to do the opposite of what is being done to y. This will have to be done on both sides to keep the equation equal. We can see that 6 is being subtracted from y. The opposite of subtracting 6 is adding 6 so we need to add 6 to both sides of the equation. -6 + 6 = 0 and 0 + 6 = 6 This leaves us with y=x+6 which is in slope-intercept form as the question asked.

Subject:Basic Math

TutorMe
Question:

1/10 + 1/10 + 5/10 =

Inactive
Jennifer R.

Subject:Algebra

TutorMe
Question:

Find the slope of the line that passes through (8, 8) and (3, 1).

Inactive
Jennifer R.

This question requires the use of the slope formula. Slope formula is m=y2-y1/x2-x1. m represents slope. If we look at the question, we are given two distinct points (8,8) and (3,1). It does not matter which you decide is 1 or 2. Let's assign the first point, (8,8), and point 1. Let's assign the second point, (3,1), as point two. Quick reminder: every ordered pair is set up as (x,y). Let's plug these into the formula. m=1-8/3-8 From the first point, (8,8) y1=8 and x1=8 so I filled those in accordingly. In the second point, (3,1) x2=3 and y2=1 and so I plugged those in as well. Now we are ready to solve. First, we want to subtract the numerator, or top numbers. We have 1-8 which equals -7. That will be the numerator of our answer. Second, we want to subtract the denominator, or bottom numbers. We have 3-8 which equals -5. This will be the denominator of our answer. We have -7/-5. A fraction will never have two negatives. Remember that a fraction is a form of a division problem, so if we divide -7 by -5 we know that two negatives equal a positive. We do want to leave the actual fraction as an improper fraction, so our answer is 7/5. To take this a step forward, if you were to graph using a slope of 7/5 you would go up 7 spots and to the right 5 to go from one point to the next. Keep that in mind so when you are asked to graph using slope, you have a headstart.

Contact tutor

Send a message explaining your
needs and Jennifer will reply soon.
Contact Jennifer

Start Lesson

FAQs

What is a lesson?
A lesson is virtual lesson space on our platform where you and a tutor can communicate. You'll have the option to communicate using video/audio as well as text chat. You can also upload documents, edit papers in real time and use our cutting-edge virtual whiteboard.
How do I begin a lesson?
If the tutor is currently online, you can click the "Start Lesson" button above. If they are offline, you can always send them a message to schedule a lesson.
Who are TutorMe tutors?
Many of our tutors are current college students or recent graduates of top-tier universities like MIT, Harvard and USC. TutorMe has thousands of top-quality tutors available to work with you.
BEST IN CLASS SINCE 2015
TutorMe homepage