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.

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