The first thing I always look for is the y-intercept which in this case is around -1.5 (- $1\frac{1}{2}$ ). That will be your constant (b) in y = mx + b. Then calculate the slope which will be your m in the equation. Visually, I would estimate it is around $\frac{2}{5}$ . So now, your equation is y = $\frac{2}{5}$ x -1 $\frac{1}{2\\}$ . Next we want to figure out what the inequality will be. The shaded part is underneath the line, which means that y must be less than where the line is. Therefore the inequality will be y ≤ $\frac{2}{5}$ x -1 $\frac{1}{2\\}$ .

Now in this question, the answers available are not in this form. The next step would be to multiply every part of the inequality by 2 (it is essential that all parts are multiplied) so that you get 2y ≤ $\frac{4}{5}$ x -3. The last step is to rearrange the inequality so that it matches the answers on the question.

3 ≤ $\frac{4}{5}$ x - 2y

$\frac{4}{5}$ x - 2y ≥ 3

7 0

3 years ago

The coordinates of vertices of quadrilateral questions in picture please help

frutty [35]

Answer:

5. (x, y) ⇒ (-x, y) — see attached for the diagram

6. (x, y) ⇒ (x+3, y+5)

7. dilation

Step-by-step explanation:

5. A point reflected across the y-axis will have the same y-value, but the opposite x-value. The transformation rule is ...

(x, y) ⇒ (-x, y)

___

6. A horizontal translation by "h" adds the value "h" to every x-coordinate. A vertical translation by "k" adds the value "k" to every y-coordinate. Then a translation by (h, k) will give rise to the rule ...

(x, y) ⇒ (x+h, y+k)

Your translation right 3 and up 5 will give the rule

(x, y) ⇒ (x+3, y+5)

___

7. Any translation, rotation, or reflection is a "rigid" transformation that preserves all lengths and angles. Hence the transformed figure is congruent to the original.

When a figure is dilated, its dimensions change. It is no longer congruent to the original. (If the dilation is the same in x- and y-directions, then the figures are <em>similar</em>, but not congruent.)

3 0

3 years ago