The way I used to think to figure this out is to remember that a slope is "rise over run" or y over x (y/x). You'll want to find the change of y and the change of x. There is a change of -9 between 6 and -3. The change between -2 and 7 is 9 too. 9/-9 equals -1. So the slope is -1.
I think similarity and congruence and reflection..
..I would need another persons opinion
The slope of a line is given by the ratio of the rise to the run of the line.
The value of, y is <u>4</u>
Reasons:
The given points on the line are; (-4, y), and (5, 7)
The slope of the line, = 
Required:
To find the value of <em>y</em>
<em />
Solution:
The formula for the slope is given as follows;

Where;
(x₁, y₁) = (-4, y)
(x₂, y₂) = (5, 7)
Which gives;

3·(7 - y) = 1·(5 + 4) = 9
21 - 3·y = 9
3·y = 21 - 9 = 12

The value of, y = <u>4</u>
Learn more here:
brainly.com/question/1617757
Answer:
Perpendicular lines have opposite reciprocal slopes, so the slope of the line is -.5
Now, y=.5x+b, so you plug in the point -2,6.
6=.5(-2)+b
6=-1+b, so b=7.
The equation is y= .5x+7