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valentinak56 [21]
4 years ago
11

A linear function has the same y-intercept as x + 4y = 8 and its graph contains the point (4, 3). Fill in the blank to find the

y-intercept.
Mathematics
1 answer:
melamori03 [73]4 years ago
5 0

Answer:

The y - intercept is (0, 4)

Step-by-step explanation:

The equation x + 4y = 8 is in 'standard form.'  Any line parallel to this line has an equation that looks exactly the same EXCEPT for the constant.

So, let's write out x + 4y = 8 and replace the 8 with C.

x + 4y = C

Now take the coordinates of the given point (4, 3) and substitute them into the above equation:  4 + 4(3) = C = 16

Thus, the equation of the line passing through (4, 3) is x + 4y = 16.

To find the y-intercept, set x = 0 and calculate y:

0 + 4y = 16, or y = 4

The y - intercept is (0, 4)

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