Make the equation of the straight line passing through the points A (- 2; 3) and B (2; 6)

Let’s use the following formula: (x – x1) / (x2 – x1) = (y – y1) / (y2 – y1)

Substitute the known coordinates of the points:

(x + 2) / (2 + 2) = (y – 3) / (6 – 3)

(x + 2) / (4) = (y – 3) / (3)

Now we bring the equation of the straight line to the standard form y = kx + m.

According to the rule of proportion:

(x + 2) * 3 = (y – 3) * 4

3x + 6 = 4y – 12

4y = 3x + 6 + 12

4y = 3x + 18

y = (3x) / 4 + 4.5