The answer is very simple .
First you need to determine the slope, which is the reciprocal of the first line.
Then,
y = mx + b
m => -1/m
The perperdicular line has a new slope equal to m = -1/2
In the formula (y - y1) = m ( x - x1 ) + b , you should sustitude this value.
So the final equation will be
-3 = -1/2 (0) + b
b = - 3
y = (-1/2)x - 3
That is the solution
Answer:
1. is D (0,2) an 2. is B.
Step-by-step explanation:

In the given question ~
Line segments BC and DE are parallel to one another therefore,
The Angles :


[ By corresponding Angle property ]
Now, in the given figure the Triangles ABC and ADE are similar to one another. by AA criteria of similarity.
since we know, The sides of similar triangles are in equal proportion, let's use the property ~




y = mx + b
y = 2x - 8
m = 2
b = -8
The number -8 replaced the letter b
Slope-intercept form: y = mx + b [m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y)]