Algebra 2 homework help!!!!?

Using the formula:

y-y1= m(x-x1)

the '1''s are subscript.

m= -1/2 x1=8 , y1= 1

y-1= -1/2( x-8)

y-1 = -1/2x +4

y = -1/2x +4 +1

y = -1/2x +5

So your answer is A

2. m = 0, (–7, 8).

using the same formula as in question '1'

y- 8 = 0(x+7)

y-8=0

y= 8

choose option 'c'.

3. m= -2/3, (6,-5)

y -(-5) = -2/3 ( x-6)

y+5 = -2/3x +4

y = -2/3x +4-5

y= -2/3x -1

The answer is option B.

4.

Points: (1, –3) and (3, –5)

x1= 1, y1 = -3 x2=3, y2=-5

first, we need to find 'm'

use m= y2-y1/x2-x1

= -5 - (-3)/ 3 -1

= -2/2

= -1

M= -1 and use one of the two set of coordinates (1,-3)

y-y1=m(x-x1)

y - (-3) =-1(x-1)

y +3 = -x +1

Y= -x +1-3

y = -x-2

5. Points: (8, –3) and (–8, 3)

m = y2-y1/x2-x1 = 3-(-3)/-8-8

= 6/-16

= -3/8

m= -3/8 (8, -3)

y-y1=m(x-x1)

y +3= -3/8(x-8)

y+3 = -3/8x+3

y = -3/8 x

6.

Points: (–6, –6) and (–3, 1)

m = y2-y1/x2-x1 = 1 +6/-3+6

= 7/3

m=7/3 (-3,1)

y-1= 7/3(x+3)

y-1 = 7/3x +7

y = 7/3x +8

parallel lines have the same gradient.

for example y= 2x+3 and y=2x-4 are parallel lines as they both have a gradient of '2'

As for perpendicular lines , the product of their gradients will always equal to -1.

for example y= 2x+3 and y =-1/2x-1 are perpendicular, they cross at right angles and the product of their gradients is -1.

point (2, –3) and is parallel to the graph of x + 2y = 2.

it has a gradients of 1. parallel lines share the same gradient:

so m= 1 (2,-3)

y-y1= m(x-x1)

y+3= (x-2)

y= x-2-3

y=x-5

(2, –3) and is perpendicular to the graph of x + 2y = 2.

so to find the gradient we will take the negative reciprocal of the above line's gradient

m= -1/1=-1 (2,-3)

y-y1= m(x-x1)

y+3 = -(x-2)

y+3= -x +2

y = -x +2-3

y = -x-1

find the slope of each line containing

Points: (3, 4) and (5, 4)

by slope we mean gradient or 'm'

m= y2-y1/x2-x1

= 0/2=0

Points: (–2, 8) and (–2, –1)

m= -1-8/-2+2= -9/0= infinity/undefined

What is the slope of the line that contains the given points?

(1/2 , -3) and (3 , -1/2)

m= -1/2+3/3-1/2

= 5/2/5/2

= 1

Points: (–4, 8) and (–3, –6)

m= -6-8/-3+4

= -14/1= -14

Slope is Rise over Run. So for example 1/2 would mean that you start at a point and count UP 1 space and RIGHT 2 spaces. For something like -3/4, you would start at a point and count DOWN three spaces and RIGHT 4 spaces. If the slope is a whole number assume that there is a 1 below it eg. 4 would actually be 4/1. (The denominator always goes rightward.) The y-intercept (Also known as b) is where the line crosses the y axis. (That is the center line going up and down on a graph.)

When you are given coordinates, they go (x,y). So in (-7,8), the -7 is x, and the 8 is y. so the equation would be.

y= -7x + 8

To find the line you would go to a graph, and since -7x is the slope, and it is a whole number, you would assume that there is a 1 under the -7. So it would be -7/1. You would find any random point on the graph, and count DOWN 7 spaces, and to the RIGHT 1 space. Then you adjust that line to cross the center line (y- axis) where b is, which in this case is 8.

(x,y) x is the slope, and y is the y-intercept or "b."

Perpendicular lines have opposite slopes. (eg. 1/3x + 2 and -1/3x + 2)

Parallel lines have the exact same slope, but different y intercepts or b. (eg. 1/4x + 2 and 1/4x - 25)

It may seem long and complicated, but it's not.

use the formula (y-y1)= m(x-x1)

here m= -1/2 and x1=8 and y1 =1

y-1 =-1/2(x-8)

y-1 = -1/2 x +4

y = -1/2 x +5 ........................Ans

Sorry---too many questions.