Answer:
y=-1/4x+3
Step-by-step explanation:
put it into y-y1=m(x-x1) form, which gives you y+3=-1/4x(x+0)
(side note: we change the y- to a y+ becuase the y in the point in negative. another side note, the slope is -1/4x because perpendicular slopes are opposite, in this case 4x (or 4/1x) is the opposite of -1/4 x)
then remove the parenthesis. y+3=-1/4x
then isolate y and balance the equation.
y+3-3=-1/4x-3
this gives you the answer of y=-1/4x-3.
Answer:
y=-2x-3
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=x2−2.
The slope of the perpendicular line is negative inverse: m=−2.
So, the equation of the perpendicular line is y=−2x+a.
To find a, we use the fact that the line should pass through the given point: −3=(−2)⋅(0)+a.
Thus, a=−3.
Therefore, the equation of the line is y=−2x−3.
Answer: y=−2x−3.
