Perpendicular lines have an negated inverse slope compared to a given line. so we need to find slope of line:
3x + 9y = 7
y = -1 / 3 x + 7
so the opposite of -1/3 is 1/3. flip the fraction to get the inverse and it is 3/1 or 3. 3 is then the slope of perpendicular line. now we see which one will work with it. there are 2 possible
3x+ 4 = y
3x - 14 = y
plug in the point on line and see if it works
3 (6) + 4 = 4 nope
3 (6) -14 = 4 yes
so 3x - 14 = y
4/64
then that simplifies to 1/16
Divide each side by 3/8 because it’s the # with the variable which is
R= 120/48 or 2.5
He pays $420
0.08*5=120
300+120= $420
Simplifying
8 + 6t = 3t + t
Combine like terms: 3t + t = 4t
8 + 6t = 4t
Solving
8 + 6t = 4t
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-4t' to each side of the equation.
8 + 6t + -4t = 4t + -4t
Combine like terms: 6t + -4t = 2t
8 + 2t = 4t + -4t
Combine like terms: 4t + -4t = 0
8 + 2t = 0
Add '-8' to each side of the equation.
8 + -8 + 2t = 0 + -8
Combine like terms: 8 + -8 = 0
0 + 2t = 0 + -8
2t = 0 + -8
Combine like terms: 0 + -8 = -8
2t = -8
Divide each side by '2'.
t = -4
Simplifying
t = -4
