y-intercept of the Graph of y = mx + c
Here we will learn how to find the y-intercept of the graph of y = mx + c.
If the graph of y = mx + c cuts the y-axis at P then OP is the y-intercept of the graph, where O is the origin.
If OP is in the positive direction of the y-axis, the intercept is positive.
But if OP is in the negative direction of the y-axis, the intercept is negative.
As the graph of y = mx + c has a point (0, c) on it, OA = c. Thus,
the y-intercept of the line which is the graph of y = mx + c is c
Solved example on y-intercept of the graph of y = mx + c:
What is the y-intercept of the graph of 7x + 2y = 3?
Solution:
Here, 7x + 2y = 3
⟹ 2y = -7x + 3
⟹ y = - \(\frac{7}{2}\)x + \(\frac{3}{2}\)
Comparing with y = mx + c, we get c = \(\frac{3}{2}\). So, the y-intercept = \(\frac{3}{2}\)
Note:
By putting x = 0 in y = mx + c, we get y = c = y-intercept. So, the y-intercept of ax + by + c= 0 can be obtained by putting x =0 in it which gives y = \(\frac{-c}{b}\) = y-intercept.
From y-intercept of the Graph of y = mx + c to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
Multiplication Table | Learn Tables from 0 – 25 | Multiplication Table
Jan 14, 25 11:53 PM
In math multiplication table we will learn the tables from 0 – 25. These multiplication tables help the students to learn the essential multiplication facts. Multiplication tables are very important f… -
3rd Grade Math Worksheets |3rd Grade Math Sheets|3rd Grade Math Lesson
Jan 14, 25 11:02 PM
3rd grade math worksheets is carefully planned and thoughtfully presented on mathematics for the students. Teachers and parents can also follow the worksheets to guide the students. -
3rd Grade Subtraction Worksheet | 3-Digit Subtraction Worksheets | Ans
Jan 14, 25 01:57 PM
In 3th Grade Addition Worksheet we will solve how to subtract 3-digit numbers by expansion, subtraction of 3-digit numbers without regrouping, subtraction of 3-digit numbers with regrouping, propertie… -
Facts about Subtraction | Subtraction of Small Numbers|Solved Examples
Jan 14, 25 12:29 AM
The operation to finding the difference between two numbers is called subtraction. Let us know some facts about subtraction which will help us to learn subtraction of large numbers. 1. Subtraction wit… -
Word Problems on Subtraction |Worksheet on Subtraction Word Problems |
Jan 14, 25 12:21 AM
In word problems on subtraction we need to read the question carefully and understand what we need to find out. We know, in subtraction the larger number from which we subtract the other number (the s…
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.