Y = -4x + 8
First you need to find the slope of the line.
The slope formula is m = y2-y1/x2-x1
If you plugged in the points it would be m = -4-4/3-1
so m = -8/2 = -4
so the slope is -4
now we need to write the equation of the line
for this u use point slope form
the formula for that is y-y2=m(x-x1)
so if you plug it in it would be:
y-(-4)=-4(x-3)
now you solve
y+4=-4x+12
y+4-4= -4x+12-4
y = -4x + 8
and now you have the slope of the line
I hope this helps! :)
Answer:
<u>The solution of this system of equation is ( 3, - 8)</u>
Step-by-step explanation:
1. Let's solve the system of equations:
First equation:
x + 2y = - 13
x = - 13 - 2y
Second equation:
12x + 5y = -4
12 * (- 13 - 2y) + 5y = - 4 (Replacing x with - 13 - 2y)
-156 -24y + 5y = - 4
-24y + 5y = - 4 + 156 (Like terms)
-19y = 152
y = - 152/19
<u>y = -8</u> (Dividing by 19)
Solving x
x + 2y = -13
x + 2 (- 8 ) = - 13
x - 16 = - 13
x = - 13 + 16
<u>x = 3</u>
2. Proving that x = 3 and y = - 8 are correct:
12x + 5y = -4
12 * 3 + 5 * -8 = -4
36 - 40 = - 4
- 4 = - 4
<u>We proved that x = 3 and y = - 8 are correct</u>
Answer: the answer is 7
Step-by-step explanation: add 9 to both sides, eliminating -9 so now you have 7x=49 divide both by 7 and you get x= 7 check it by inputing 7 for x, 7(7)-9=40
7(7)=49 next 49-9= 40
it checks out, so x= 7
Answer:
Long wings: 0
Short wings: 100
Step-by-step explanation:
Genotype of the flies: ww
The cross will yield the genotype ww and the flies will express the recessive phenotype which is short wings.
The probability for long wings will be 0 as there is no dominant allele present. The probability for short wings will be 100 as all the flies will have short wings.
Hope that helps.
