Answer:
y = -0.5x + 11
Explanation:
Given:
Equation of line in slope-intercept form as
y = 2x + 2022
Find:
Equation of perpendicular line passing through (2,10)
A line perpendicular to a line y = mx + b where m = slope will have as its slope -1/m
The given line has slope 2
So perpendicular line will have slope - 1/2 = 0.5
Equation of line will be
y = -0.5x + b where b is the y-intercept of the perpendicular line
Since the line passes through (2, 10) we can plug in these values of x = 2 and y = 10 into the perpendicular line equation and solve for b
10 = -0.5 x 2 + b
10 = -1 + b
b = 10 + 1
b = 11
So the equation of the perpendicular line is
y = -0.5x + 11