9514 1404 393
Answer:
y = -1/2x +4
Step-by-step explanation:
The given equation is in slope-intercept form, so you can see the slope of the given line is 2 (the coefficient of x). The slope of the perpendicular line will be the opposite reciprocal of that, -1/2. The y-intercept (b) of the reciprocal line can be found from ...
b = y -mx
b = 3 -(-1/2)(2) = 4
Then the slope-intercept form equation for the perpendicular line through (2, 3) is ...
y = mx +b . . . . . . . . where m is the slope and b is the y-intercept
y = -1/2x +4
