# Write the equation of the straight line through the points (-3.0), (0.5).

May 29, 2021 | education

| The equation of a straight line passing through two points A (x1; y1) and B (x2; y2) can be written as

(x – x1) / (x2 – x1) = (y – y1) / (y2 – y1).

For the points specified by the condition with coordinates (-3, 0), (0, 5), the expression is obtained

(x – (-3)) / (0 – (-3)) = (y – 0) / (5 – 0), whence

(x +3) / 3 = y / 5.

In order to get rid of the denominators, it is necessary to multiply on both sides by the LCM (3; 5), which is 15:

15 * (x +3) / 3 = 15y / 5 and after reduction

5 * (x + 3) = 3y.

Let’s expand the brackets and divide by 3:

y = 5/3 x + 1.

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