Answer:
y = 2x - 4
Step-by-step explanation:
Rearrange the given equation to slope-intercept form.
x + 2y = 2
2y = -x + 2
y = -1/2x + 1
The slope of the given line is -1/2. The slope of a perpendicular line will be the negative inverse, meaning that the slope will be 2.
-1/2 = 2
Find the equation of the new line with the point-slope form using the new slope and given point.
y - y₁ = m(x - x₁)
y - 6 = 2(x - 5)
y - 6 = 2x - 10
y = 2x - 4
The equation will be y = 2x - 4.
Answer:
y = 2x - 4
Step-by-step explanation:
First find the slope of line QR. Write down in slope intercept form
Equation of QR:
x + 2y = 2
2y = - x + 2
y = [tex]\frac{-1}{2}x + \frac{2}{2}[/tex]
y = [tex]\frac{-1}{2}x+1[/tex]
Slope of line QR = m1 = -1/2
Slope of line perpendicular to QR = -1/m1
= [tex]\frac{-1}{\frac{-1}{2}}[/tex] = [tex]-1*\frac{-2}{1}[/tex]
[tex]m_{2} = 2[/tex]
m2 = 2 & (5 , 6)
Equation of line perpendicular to QR:
y - y1 = m (x - x1)
y - 6 = 2 (x - 5)
y - 6 = 2x - 5 *2
y - 6 = 2x - 10
Add 6 to both sides
y = 2x - 10 + 6
Add like terms
y = 2x - 4
