Answer:
see below
Step-by-step explanation:
We are given two points (3,4) and (0,1)
so we can find the slope
m = ( y2-y1)/(x2-x1)
= (1-4)/(0-3)
= -3/-3
= 1
The point slope form is
( y-y1) = m(x-x1)
y - (4) = 1 (x-3)
y - (4) = (x-3)
or using the other point
y - 1 = 1( x-0)
y - 1 = x
Answer:
The distance between A(-8, 4) and B(4, -1) is 13 units.
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula given by:
We have the two points A(-8, 4) and B(4, -1). Let A(-8, 4) be (<em>x₁, y₁</em>) and let B(4, -1) be (<em>x₂, y₂</em>). Substitute:
Evaluate:
So:
The distance between A(-8, 4) and B(4, -1) is 13 units.
y = mx + c
7 = 4(-8) + c
c = 39
The equation is y = 4x + 39
y - 7 = 4 ( x - (-8))
y -7 = 4 (x +8)
1. since the equations equal each other
2x+19=x+7
-x -x
x+19=7
-19 -19
x= -12
sub into y= x+7
y= -12+7
y= -5
2. x+2y=-7
<span>x+y+23=0
i don't know what the second equation is equal to, i'll assume 0
2y=x-7
y=1/2x-7/2
sub this into x+y+23=0
x+1/2x-7/2+23=0
3/2x+39/2=0
-39/2 -39/2
3/2x= -39/2
x=-39/2 / 3/2
x= -13
sub into y=1/2x-7/2
y=1/2(-13)-7/2
y= -10
3. </span>x+5y=2
<span>x=-4y+5
</span>sub x=-4y+5 into x+5y=2
-4y+5+5y=2
y+5=2
-5 -5
y= -3
sub y =-3 into x =-4y+5
x=-4(-3)+5
x= 17
4. 3x+y=9
<span>y=-5x+9
</span>sub -5x+9 into 3x+y=9
3x+(-5x+9)=9
3x-5x+9=9
-2x+9=9
-9 -9
-2x=0
x=0
sub into y=-5x+9
y=-5(0)+9
y=9
Answer is 1 . Righttttttttttttt
