Answer:
y = 1/2x + 2
Step-by-step explanation:
First you have to determine the slope which is the opposite reciprocal of the slope of the line given.
So we take the slope -2 and reciprocate and by flipping the numerator and denominator which makes it -1/2.
Then we have to make it the opposite, like making a negative into a positive or a positive into a negative. So that would make it positive 1/2.
We now have the slope which is 1/2 and not we have to make sure it goes through point (2,3).
To do that, we must adjust the y-intercept until it goes through that point. We result in getting the y-intercept of 2.
The answer is y = 1/2x + 2
Answer:
y = [tex]\frac{1}{2}[/tex] x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x + 1 ← is in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , thus
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (2, 3) into the partial equation
3 = 1 + c ⇒ c = 3 - 1 = 2
y = [tex]\frac{1}{2}[/tex] x + 2 ← equation of perpendicular line
