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musickatia [10]
3 years ago
7

HeLP with this question please put the answer on a point

Mathematics
1 answer:
allsm [11]3 years ago
6 0

Answer:

x  = -1

y = 3

Step-by-step explanation:

Given

The attached table

Required

Fill in the blanks

First, we need to calculate the slope

m = \frac{y_2-y_1}{x_2-x_1}

Where:

(x_1,y_1) = (1/2,1)

(x_2,y_2) = (3,-9)

So, we have:

m = \frac{-9-1}{3-1/2}

m = \frac{-10}{3-0.5}

m = \frac{-10}{2.5}

m = -4

Next, we calculate the equation:

y - y_2 = m(x - x_2)

This gives:

y - (-9) = -4(x - 3)

y +9 = -4(x - 3)

y +9 = -4x +12

Make y the subject:

y  = -4x +12-9

y  = -4x +3

So,

When y = 7:

We have:

y  = -4x +3

7  = -4x +3

Collect Like Terms

4x = 3 - 7

4x = -4

Divide through by 4

x  = -1

When x = 0, we have:

y  = -4x +3

y = -4 * 0 + 3

y = 0 + 3

y = 3

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