34.5k views
1 vote
3

What is the equation of the line that crosses the x-axis at -7.5 and is perpendicular to the line represented by y=-3?
--5-10

1 Answer

4 votes

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.

User Vinit Prajapati
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories