Answer:
Step-by-step explanation:
y = 3x + 4, and
y = x + 2
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Use the vale of y in the 2nd equation in the first:
y = 3x + 4
x + 2 = 3x + 4
-2x = 2
x = -1
Use this value of x (-1) in either equation to find y:
y = x + 2
y = -1 + 2
y = 1
==========
(-1,1)
See attached graph.
Formula for slope:
Plug in:
Slope:
Here's how to plug it into point slope if you'd like to know for future reference. :)
Formula for point-slope:
where m = slope
Plug in:
Solve:
Add three both sides to get:
And once you have solved, the above equation is now in slope-intercept form.
For further reference, slope intercept form is:
Well done mate you’re correct.
Hello,
f(x,y)=2(x²+y²)-25(x²-y²)=0(1)
@f/@x=2*2*(x²+y²)*2x-50x
@f/@y=2*2*(x²+y²)*2y-50y
dy/dx=-(@f/@x)/(@f/@y)=0
==> 2x*(4x²+4y²-25)=0
==>x=0 or x²+y²=25/4 (2)
As (1)==>2*25/4-25(x²-y²)=0
==> x²-y²=1/2 (3)
(2) and (3)=>2x²=27/4 ==>x²=27/8 and y²=23/8
==>x=-√(27/8) and (y=-√(23/8) or y=+√(23/8)
or x=√(27/8) and (y=-√(23/8) or y=+√(23/8)
