The greatest common factor of 14 and 28 is 14
Answer:
see below
Step-by-step explanation:
First find the slope
m= ( y2-y1)/(x2-x1)
= (-5- -7.5)/ ( 2 - -3)
= (-5+7.5) / ( 2+3)
= 2.5 /5
=1/2
Then using the slope intercept equation of a line
y = mx+b where m is the slope and b is the y intercept
y = 1/2x+b
Using a point from above
-5 = 1/2(2) +b
-5 =1+b
Subtract 1 from each side
-6 = b
We have the y intercept
y = 1/2x-6
Tahlia forget to find the y intercept for the equation
-5 maybe because it looks like it’s counting down.
Our system of equations is:
y = x - 4
y = -x + 6
We can solve this system of equations by substitution. We already have one equation solved for the variable y in terms of x, so we can substitute in this equivalent value for y into the second equation as follows:
y = -x + 6
x - 4 = -x + 6
To simplify this equation, we first are going to add x to both sides of the equation.
2x - 4 = 6
Next, we are going to add 4 to both sides of the equation to separate the variable and constant terms.
2x = 10
Finally, we must divide both sides by 2, to get the variable x completely alone.
x = 5
To solve for the variable y, we can plug in our solved value for x into one of the original equations and simplify.
y = x - 4
y = 5 - 4
y = 1
Therefore, your final answer is x = 5 and y = 1, or as an ordered pair (5,1).
Hope this helps!
Answer:
D. y - 3 = -(x + 5)
Step-by-step explanation:
I used a calculator called m.a.t.h.w.a.y !
