Here we will learn how to find the yintercept of the graph of y = mx + c.
If the graph of y = mx + c cuts the yaxis at P then OP is the yintercept of the graph, where O is the origin.
If OP is in the positive direction of the yaxis, the intercept is positive.
But if OP is in the negative direction of the yaxis, the intercept is negative.
As the graph of y = mx + c has a point (0, c) on it, OA = c. Thus,
the yintercept of the line which is the graph of y = mx + c is c
Solved example on yintercept of the graph of y = mx + c:
What is the yintercept 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 yintercept = \(\frac{3}{2}\)
Note:
By putting x = 0 in y = mx + c, we get y = c = yintercept. So, the yintercept of ax + by + c= 0 can be obtained by putting x =0 in it which gives y = \(\frac{c}{b}\) = yintercept.
`
From yintercept 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.

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.