To find the equation of a line that crosses the x-axis at -7.5 and is perpendicular to the line represented by y = -3, we can use the properties of perpendicular lines.
1. The given line has a slope of -3. The slope of a line perpendicular to it will be the negative reciprocal of -3. So, the perpendicular line will have a slope of 1/3.
2. We know that a line crosses the x-axis when the y-coordinate is 0. Therefore, we want to find the equation of a line with a y-intercept of 0 and a slope of 1/3.
3. The general equation of a line can be written as y = mx + b, where m represents the slope and b represents the y-intercept.
4. Plugging in the values for the slope (1/3) and the y-intercept (0), the equation of the line becomes y = (1/3)x + 0.
Simplifying, we have y = (1/3)x.
In summary, the equation of the line that crosses the x-axis at -7.5 and is perpendicular to the line y = -3 is y = (1/3)x. This line has a slope of 1/3 and a y-intercept of 0.