A linear equation with two variables x-0.75y + 2 = 0 coordinates of points of intersection with coordinate axes is given.

x – 0.75y + 2 = 0.

1) To find the point of intersection with the x-axis, you need to express x from the equation and substitute y = 0.

Let us express x:

x = 0.75y – 2.

Substitute y = 0:

x = 0.75 * 0 – 2;

x = -2.

2) To find the y-intercept, express y from the equation and substitute x = 0.

Let us express y:

0.75y = x + 2;

y = (x + 2) / 0.75.

Substitute x = 0:

y = (0 + 2) / 0.75;

y = 2 / 0.75.

When dividing, an infinite decimal fraction is obtained, so we write it as an ordinary fraction:

y = 8/3.

Answer: the point of intersection with the x-axis: (-2; 0), with the y-axis: (0; 8/3).