Write an equation in slope intercept form that passes through (2,1) and is perpendicular to (5x+y=9)

Given equation of line:
5x+y=9
Convert it into slope intercept form: y=mx+b
Where m is the slope.
y=-5x+9
here slope of line, m1=-5
As slope of perpendicular lines is negative reciprocal of each other.
So slope of perpendicular line is m2= 1/5
Equation of line:
y-y1=m(x-x2)
Put values
y-1=1/5(x-2)
y-1=1/5x - 2/5
Add 1 to both sides
y=1/5x -2/5 +1
y=1/5x + 3/5

 

Okay so for every triangle has three angles that always add up to 180 degrees. and to tell the difference between whether they are secure, right or obtuse is that acute: has one angle that is less than 90 degrees. right triangle means there is at least one angle that is exactly 90 degrees. and an obtuse angle has an angle that is bigger than 180 degrees. i’ll do #13 as an example: 13. 40 and 50 so if every triangle has 180 degrees 40+50= 90 degrees then180-90= 90 degrees so the third angle is 90 degrees and because this triangle has a 90 degree angle it means it is a right triangle

1.17+3.99a. you combine the terms with a to create 3.99 and the 1.17 stays because it has no like terms or a variable