Answer:
y = − 2 x
Step-by-step Explanation:
Y + 2 = − 2 ⋅ ( − 1 ) Write in y = m x + b form.
The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.
m in perpendicular = − 1 2
(1,-2),y=(1)/(2)x+4
I hope I helped!
Answer:
y = -2x + 8
Step-by-step explanation:
For this problem we need to consider that the equation of a line perpendicular to another line will have a "negative reciprocal" slope so that when they cross, it forms a 90-degree angle, hence perpendicular. Additionally, we will need to use the point-slope form and re-write it into the slope-intercept form to incorporate (2,4) into our equation. With these things in mind, let's do that.
y = (1/2)x + (1/2)
We want a "negative reciprocal" so:
y = -2x + (1/2)
Since -2 is the "negative reciprocal" of 1/2.
And now we want to use the point-slope form to incorporate (2,4)
y - y0 = -2 ( x - x0 )
Where, y0 = 4 and x0 = 2.
y - y0 = -2 ( x - x0 )
y - 4 = -2 ( x - 2 )
y - 4 = -2x + 4
y = -2x + 8
So, the equation that is perpendicular to y = (1/2)x + (1/2) and includes the point (2,4) is y = -2x + 8.
Cheers.
