(HELP) 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

Question

asked Feb 1, 2023 216k views

1 Answer

Ryan Currah · Answer 1 · 2023-02-06T02:21:23+0000

Answer:

$y=\frac12x+9$

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:

$(-1)/(-2)=\frac12$

$\sf as \ \frac12 \cdot -2 = -1$

If Line M intersects the y-axis at (0, 9) then its y-intercept is 9.

Slope-intercept of a linear equation:
y = mx + c

(where m is the slope and c is the y-intercept)

Therefore, the equation for Line M is:

$y=\frac12x+9$