The slope of this line is:
3-(-6)
m = ------------ = 1
3-(-3)
and so, using the point-slope formula for the equation of a str. line,
y-3 = 1(x-3), or y-3 = x - 3, or 1x - 3 - y + 3 = 0. Then 1x - 1y = 0 (in standard form). Alternatively, y = x (slope-intercept form).
Anwser: (-1,-5)
Why:
All you have to do is plug in the coordinates into the equation...
(5,10):
10+5=2(5+1)
15=10+2
15=12
This is false so this ordered pair isn’t a solution
(-1,-5):
-5+5=2(-1+1)
0=-2+2
0=0
This statement is true therefore this ordered pair is a solution and is the only solution.
Answer:
The slope is 0
Step-by-step explanation:
Let the base of the ladder be x ft and the extension be y ft.
"when fully extended, a ladder is 28 feet in length."
means: x+y=28
"<span>the extension is 4 feet shorter than the base</span>"
means: y=x-4, that is x-y = 4, (taking y to the side of x, and -4 to the other side of x and y)
thus, we have the system of equations:
1) x+y= 28
2) x-y=4
adding the 2 equations, we have:
(x+y)+(x-y)=28+4
2x=32
x=32/2=16
x+y=28, so 16+y=28, thus y=12
Answer: Base: 16, Extension 12
Can you make that more dicriptive
