Answer:
The equation that goes through this set of points is y = -x + 5
Step-by-step explanation:
In order to find this, we need to start by finding the slope. For that we use the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (6 - -2)/(-1 - 3)
m = 4/-4
m = -1
Now that we have this, we can use the slope and a point in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 6 = -1(x - -1)
y - 6 = -1(x + 1)
y - 6 = -x - 1
y = -x + 5
Group like terms , factor out common variable.
(xz+x) + (yz+y)
x(z+1) + y(z+1)
factor out (z+1)
= (z+1)(x+y)
= solution C.
Answer: 2/15
Explanation: 2/9 x 3/5 then simplify it
Notice how on both sides of the equation there is one coefficient (number being multiplied by x) and a constant (just a plain number). You want all constants to be on one side and all coefficients on the other. He’s how do to that:
2x+14=-21-5
I am choosing that all constants will be on the right side, so I will do the inverse operation of any constant on the left side to remove it. Here, a constant on the left side is 14. I will subtract 14 from both sides of the equation. Positive 14 minus 14 is zero, so it cancels out and removes it.
2x+14-14 = -21-5x
2x = -35-5x
See how the 14 is now gone? The equation looks much simpler now. Okay next, you can see that there is a coefficient on the “constant side” that I’ve chosen, so I am going to remove that. Negative 5 plus positive 5 equals zero. Do this on both sides of the equation.
2x+5x = -35-5x+5x
7x = -35
Now the equation is just two numbers. All that is left to do is divide by the last coefficient, 7, in this case.
7x/7 = -35/7
x = -5
