Original line: y=1/2x-9
Perpendicular lines have opposite slopes from the original lines. Since the original slope is 1/2, the perpendicular slope will be -2/1 or -2. The numbers switch places and switches from positive to negative.
New line: y=-2x+b
To solve for the y-intercept (b), plug the given coordinates (3,2) into the x and y spots in the equation:
2=-2(3)+b
Now, solve for b.
2=-6+b
Add 6 to both sides.
8=b
The y intercept is 8.
Now, your perpendicular line equation is:
y=-2x+8
I hope this helps :)
Turn it into a decimal first
The rule of the linear equation which is 'y is three more than twice x' can be translated into y = 2x + 3. Thus, we simply use the points and subtitute it to the y and x variables.
1st point: (-1, 1)
1 = 2(-1) + 3
1 = -2 + 3
1=1
2nd point: (0, 3)
3 = 2(0) + 3
3 =3
3rd point: (-1/3, 7/3)
7/3 = 2(-1/3) + 3
7/3 = -2/3 + 3
7/3 = 7/3
All points prove the equation satifsfies the set of coordinates.
Hi there!
For a 3,4,5 triangle the smallest angle measure would be 45 degrees.
Hope this helps !
I can help you if you want
