The slope of the line l is the opposite reciprocal of y+2x=9. Rearranged the equation to y=9-2x and we get a slope of -2. The opposite reciprocal of -2 is 1/2.
y-y=m(x-x)
y-3=.5(x-4)
y=.5x+1
At the x-intercept, y=0, so
0=.5x+1
-1=.5x
x=-2
To find the solution, we use the substitution method.
x+y=-1
<span>x-3y=11
</span>
x+y = -1-y
-y
x = -1-y
Now apply the value of x into the other equation.
x-3y=11
-1-y-3y = 11
Combine like terms
-4y -1 = 11
+1 +1
-4y = 12
-4y = 12
-4y/-4 = 12/-4
y = -3
Now, apply the value of Y to one equation to find x.
y = -3
x -3 = -1
+3 +3
x= 2
Now we have the value for both, x and y.
x = 2
y =-3
Final answer: A. <span>(2, −3)</span>
1,6,11,16,21,26 is what you would get if you add 5.
-0.183 = -0.183 / 1
Numerator = -0.183 × 10 × 10 × 10 = -183
Denominator = 1 × 10 × 10 × 10 = 1000
Numerator / Denominator = -183 / 1000
Our simplified fraction is:
= -183/1000