Practice writing linear equations in different forms. line ab goes through the points a (0, –4) and b (6, 2). which equation represents line ab? y – 4 = 3x y – 2 = 3(x – 6) y + 4 = x y + 6 = x - 2

(0,-4)(6,2)
slope = (2 - (-4) / (6 - 0) = 6/6 = 1

y = mx + b
slope(m) = 1
(0,-4)..x = 0 and y = 4
sub and find b
4 = 1(0) + b
4 = b

equation is : y = x + 4...or x - y = -4
or  y + 4 = 6(x - 0) ...or y - 2 = 6(x - 6)

Option C.

Step-by-step explanation:

To form a triangle we should always remember that a triangle is possible when sum of two smaller sides of the triangle is greater than the largest side.

If smaller sides are a, b and largest side is c

Then a + b > c

Now we take each option given

Option A) 2 cm, 2 cm, 4 cm

2 + 2 = 4 which equal to the largest side so to form a triangle is not possible.

Option B) 3 cm, 5 cm, 10 cm

3 + 5 = 8 < 10 cm

Here sum of smaller sides is less than to the largest side so triangle will not be formed.

Option C. 3 cm, 4 cm, 5 cm

3 + 4 = 7 > 5 cm

Therefore triangle can be formed.

Option D) 4 cm, 8 cm, 15 cm

4 + 8 = 12 < 15 cm

so triangle can not be formed.

Option C is the correct option.