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Line L has the equation y = -2x - 3.
Line M is perpendicular to Line L and intersects the y-axis at (0,9)
Write Down the equation of Line M in the form y=mx+c

Respuesta :

semsee45

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]