Write the equation of the straight line passing through the points (-3; 0) and (0; 5)

| May 30, 2021 | education

Write the equation of the straight line passing through the points A (-3; 0) and B (0; 5)

General view of the equation of the straight line y = kx + b.

Consider the coordinates of point A: x = -3; y = 0, we substitute the given values ​​of x and y into the equation of the straight line: 0 = -3k + b – the first equation.

Consider the coordinates of point B: x = 0; y = 5, we substitute the given values ​​of x and y into the equation of the straight line: 5 = 0k + b, from here we have that b = 5, we substitute the obtained value into the first equation:

0 = -3k + 5;

3k = 5;

k = 5/3;

Substitute the found values ​​k = 5/3 and b = 5 into the general equation:

y = 5/3 * x + 5.

This equation passes through points A (-3; 0) and B (0; 5).

Answer: y = 5/3 * x + 5.



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