Answer:
y =6x+17
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/(x2-x1)
= (-7- -1)/(-4 - -3)
= (-7+1)/(-4+3)
-6/-1
6
The slope intercept form of the equation is
y = mx+b where m is the slope and b is the y intercept
y = 6x+b
Substitute a point into the equation
-1 = 6(-3) +b
-1 = -18+b
Add 18 to each side
17 =b
The equation is
y =6x+17
Answer:
All real numbers; the simplification is described below.
Step-by-step explanation:
5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13
Let's keep in mind PEMDAS (the order of operations) to simplify and solve this. First, we'll distribute inside each set of parenthesis!
5(-3x) + 5(-2) -1(x) -1(-3) = -4(4x) -4(5) + 13
See how we've taken the outer term on the outside of the parenthesis and multiplied it to each term inside the parenthesis. Simplify further.
-15x - 10 - x + 3 = -16x - 20 + 13
Now we can combine like terms! I will bold the terms I am combining.
-15x - 10 - x + 3 = -16x - 20 + 13 (combining the x terms on the left)
-16x - 10 + 3 = -16x - 20 + 13 (combining the constants on both sides)
-16x - 7 = -16x - 7
Aha! It looks like we have an equation that's literally equal to itself. If we were to simplify this, or put in any number, we'd get that number equals itself. For example:
-16(1) - 7 = -16(1) - 7
-16 - 7 = -16 - 7
-21 = -21
Any number you put in here will make the equation true, so these lines must be the same line. That means the solution is all real numbers.
Answer:
D) 7/2
Step-by-step explanation:
y=1/3 (ax-2) =>(2,3) so x=2, y=3.
Then,3=1/3 (2a-2)=> 9=2a-2 and a=7/2
So, slope is 7/2
2/5(10)+3(6)-6
4+18-6
22-6
16
i hope this helps!
