Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
For lines to be perpendicular, their slopes have to be the negative reciprocal of each other. (Basically flip the sign +/- and the fraction(switch the numerator and the denominator))
For example:
Slope = 2 or 
Perpendicular line's slope = 
(flip the sign from + to -, and flip the fraction)
Slope = 
Perpendicular line's slope = 
(flip the sign from - to +, and flip the fraction)
y = 1/3x + 4 The slope is 1/3, so the perpendicular line's slope is 
or -3.
Now that you know the slope, substitute/plug it into the equation:
y = mx + b
y = -3x + b To find b, plug in the point (1, 2) into the equation, then isolate/get the variable "b" by itself
2= -3(1) + b Add 3 on both sides to get "b" by itself
2 + 3 = -3 + 3 + b
5 = b
y = -3x + 5
Answer:
30
Step-by-step explanation:
first, create two equations.
let x = Julio's number and y = answer for Julio's number substrates 17
by using substitution method, you will get
so the answer is 30
Answer:
The tens place
Step-by-step explanation:
1 is in the tens place; 6 is in the ones place.
Answer:
The total number of ways in which the 5 people can sit is: 5!=120: 5!=120
Let us assume that person d and e are sitting together and are taken as a single entity, the number of ways in which 4 people can sit is: 4!=24: 4!=24
The number of ways in which d and e are not sitting together: 1120−24=96.
X+y=11
xy=128
x=11-y, so (11-y)y=128
11y-y²=128
y²-11y+128=0
use the quadratic formula to find y: y=(11+√391i)/2 or y= (11-√391i)/2
x=(11-√391i)/2, or x=(11+√391i)/2
so either there is an error in your question, or you have two unreal numbers:
(11-√391i)/2 and (11+√391i)/2
