Answer:
- y -2 = 2(x +7)
- y -2 = -1/2(x +7)
Explanation:
You want equations of lines parallel and perpendicular to y = 2x -1 through the point (-7, 2).
Slope
The given equation is written in slope-intercept form:
y = mx + b
where m = 2, and b = -1.
The slope of the line is m, the x-coefficient. For the given line, the slope is 2.
A parallel line will have the same slope: 2.
A perpendicular line will have the opposite reciprocal slope: -1/2.
Point-slope equation
When you have a point and slope, it is useful to use the point-slope form of the equation for a line:
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
For both of the desired lines, the point is (h, k) = (-7, 2). Using this point and the above slopes, we have ...
- equation of parallel line: y -2 = 2(x +7)
- equation of perpendicular line: y -2 = -1/2(x +7)