Y = (-1/2)x - 3 This line has a slope of -1/2. Perpendicular lines have negative reciprocal slopes. The slope of the line perpendicular to the given line is 2.
y = mx + b is the slope-intercept form of the equation of a line We have the point (6, -4) as a point on the given line. We can use these as the values of x and y in the slope-intercept form of the equation of a line.
-4 = 2(6) + b -4 = 12 + b -16 = b This tells us that the line perpendicular to the given line has a y-intercept of -16. The equation of that line is:
A line that is perpendicular has a slope that is the opposite reciprocal of the other line. We also have a point (x, y) that is on the line, so our equation begins as..
1 = -(1/2)(6) + b We must solve for b ( -1/2 is the opposite reciprocal of 2)
