Question

HeLP with this question please put the answer on a point

Answer 1

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:

$y = -4x +3$

$y = -4 * 0 + 3$

$y = 0 + 3$

$y = 3$