How do you find the equation of a line when given?
Favorite Answer
if you have the y-intercept and a point you kno the b value (it’s the y-intercept)
you can then plug in the x and y from the point to get the slope (m)
ex: y-int = 5 through point (2, 11)
y = mx + 5
11 = m(2) + 5
6 = 2m
m = 3
y = 3x + 5
========================================
if you have the x-intercept and one point you can first use the points to find slope and then plug in one of th epoints to get b
ex: x-int = 2 through (4, 8)
the x-int is the point (2, 0)
m = (8 – 0)/(4 – 2) = 4
y = 4x + b
8 = 4(4) + b
-8 = b
y = 4x – 8
then drawn the line through the points
y=mx+b
find the slope (m) by counting up then over
so for example, up 4 over 3 your slope is 4/3 (rise over run)
put that in the formula
y=4/3x+b
b the y intercept so if you give you 4 then just plug it in
y=4/3x+4
but if they dont give it to you see where your line crosses the y (vertical) axis and put that number in
Y and X (in the equation) will always be there so dont worry about putting numbers in there
your final is
y=4/3x+4
- Academic Writing
- Accounting
- Anthropology
- Article
- Blog
- Business
- Career
- Case Study
- Critical Thinking
- Culture
- Dissertation
- Education
- Education Questions
- Essay Tips
- Essay Writing
- Finance
- Free Essay Samples
- Free Essay Templates
- Free Essay Topics
- Health
- History
- Human Resources
- Law
- Literature
- Management
- Marketing
- Nursing
- other
- Politics
- Problem Solving
- Psychology
- Report
- Research Paper
- Review Writing
- Social Issues
- Speech Writing
- Term Paper
- Thesis Writing
- Writing Styles