Answer:
1. y = 4x - 27
2. y = -4x - 15
Step-by-step explanation:
If two lines are parallel, then they have the same slope. So, the slope of the line we are looking for needs to be 4. We can start by writing a point-slope equation:
y - y1 = m(x - x1)
We can substitute the values we have, the point we are using is (8, 5) because it needs to be on the line:
y - 5 = 4(x - 8)
We can distribute:
y - 5 = 4x - 32
y = 4x - 27
We are not given the slope-intercept form, so we must divide both sides by two to get it:
y = 1/4 x + 8
A perpendicular line has the slope that is the negative reciprocal of the one that is given. So, the slope of the line would be - 4. We can start by writing a point-slope equation:
y - y1 = m(x - x1)
We can substitute the values we have, the point we are using is (-5, 5) because it needs to be on the line:
y - 5 = -4(x + 5)
We can distribute:
y - 5 = -4x - 20
y = -4x - 15
The answer is 6x-7y=21
In order to find this answer you need to convert the answer choices into y intercept form by isolating the y variable to one side of the equation.
6x-7y=21
-7y=-6x+21
y=6/7x-3
As you can see when you change the form of this equation, the y intercept is -3.
Answer:
x = 10°; Angle A = 84°
Step-by-step explanation:
Angle A + Angle B = 180
5x + 34 + 2x + 76 = 180
7x + 110 = 180
7x = 70
x = 10
Angle A: 5(10) + 34 = 50 + 34 = 84°
Answer:
You should ask your teacher for help and pay attention in class
Step-by-step explanation:
X = 1/2 y = 4 by elimination
