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Please help answer the y-intercept part

Please help answer the y-intercept part-example-1
User Crates
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2 Answers

1 vote
Answer:
(0,-1/2)

Step-by-step explanation:
The genera form of the linear equation is:
y = mx + c
where:
m is the slope
c is the y-intercept

The given equation is:
7x - 2y = 1
First, we will put the given equation in the general form as follows:
7x - 2y = 1
2y = 7x - 1
y = (7/2) x - (1/2)

Now, comparing the given equation with the general form, we would find that:
the slope (m) = 7/2
the y-intercept (c) = -1/2

The y-intercept is defined as the value of y at x = 0.
This means that the y-intercept as an order pair would be: (0,-1/2)

Hope this helps :)
User Kostas Livieratos
by
8.3k points
3 votes
The easy way to find the y-intercept is to write the equation is slope intercept form as:

y = mx + c

The c will be the y-intercept.

The given equation is:

7x - 2y = 1

Re-arranging we get:

2y = 7x - 1

Divide both sides by 2, we get;

y = 7/2 x - 1/2

Compare this to the top most equation, you get the y-intercept to be -1/2

At y-intercept, the x coordinate is 0. So the ordered pair will be (0, -1/2)
User MeltingDog
by
8.1k points

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