The equation of line perpendicular to given line through (-6,7) is:
Further explanation:
Given equation of line is:
The co-efficient of x is the slope of given line.
Let m1 be the slope of given line
and
m2 be the slope of line perpendicular to given line
Then
Product of slopes of perpendicular lines is -1
The equation of new line can be written as:
Putting m2
To find the value of b, we will put (-6,7) in equation
Putting the values of b and m in general equation
Keywords: Slope, Point-slope form, perpendicular lines
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Answer:
B
Step-by-step explanation:
Let point N has coordinates (0,0), then figure A has vertices at points (-3,0), (-7,0), (-7,4) and (-3,4). Figure B has vertices at points (3,1), (7,1), (7,-3) and (3,-3).
1. Translation 10 units to the right has the rule
(x,y)→(x+10,y).
Then vertices of the figure A have images:
- (-3,0)→(7,0);
- (-7,0)→(3,0);
- (-7,4)→(3,4);
- (-3,4)→(7,4).
2. Translation 3 units down has the rule
(x,y)→(x,y-3).
Then images are
- (7,0)→(7,-3);
- (3,0)→(3,-3);
- (3,4)→(3,1);
- (7,4)→(7,1).
As you can see these points are exactly the vertices of the figure B.
Answer:
70
Step-by-step explanation:
2x(3x5)=15 15x0.5=7.5 7.5+7.5=15
2x(5x11)=55
55+15=70