- #1
Joza
- 139
- 0
When you have a line's equation, and are asked to find the equations of the 2 parallel lines to it, which are 2 units away...where do I start?
Joza said:When you have a line's equation, and are asked to find the equations of the 2 parallel lines to it, which are 2 units away...where do I start?
To determine the slope of the given line, you can use the slope formula, which is (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are any two points on the line.
The slope-intercept form of a line is y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).
To find the equation of a line parallel to a given line, you can use the fact that parallel lines have the same slope. So, you can use the slope of the given line and a point on the new line to write the equation in slope-intercept form.
To find the distance between two parallel lines, you can use the distance formula, which is d = |Ax + By + C|/√(A^2 + B^2), where A, B, and C are the coefficients of the equations of the lines.
To find the equations of two parallel lines 2 units away from a given line, you can use the distance formula to determine the distance between the given line and the new lines. Then, you can use the slope of the given line to write the equations of the new lines in slope-intercept form.