Answer:
[tex]y=\dfrac12x+9[/tex]
Step-by-step explanation:
The product of the slopes of perpendicular lines is -1
Given the slope of Line L is -2, this means that the slope of Line M will be:
[tex]\dfrac{-1}{-2}=\dfrac12[/tex]
[tex]\sf as \ \dfrac12 \cdot -2 = -1[/tex]
If Line M intersects the y-axis at (0, 9) then its y-intercept is 9.
Slope-intercept of a linear equation: [tex]y = mx + c[/tex]
(where m is the slope and c is the y-intercept)
Therefore, the equation for Line M is:
[tex]y=\dfrac12x+9[/tex]
