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.
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