Answer:
There is one solution
Step-by-step explanation:
2x + y = -1
8x + 3y = -2
Multiply the first equation by -4
-8x -4y = 4
Then add the equations together to eliminate x
-8x -4y = 4
8x + 3y = -2
--------------------
-y = 2
Multiply by -1
y =-2
Now find x
2x+y =-1
2x+-2 =-1
Add 2 to each side
2x-2+2=-1+2
2x=1
Divide by 2
x = 1/2
The slope is 2-2/6-6 which is zero . So the slope is no slope
The rule to remember about generating the perpendicular family to a line is we swap the coefficients on and x and y, remembering to negate one of them. Then the constant is set directly from the intersecting point.
So we have
y = 3x + 2
-3x + 1y = 2
Swapping and negating gets the perpendiculars; the constant is as yet undetermined.
1x + 3y = constant
Since we want to go through (0,2), we could have just written
x + 3y = 0 + 3(2) = 6
3y = -x + 6
y = (-1/3) x + 2
Third choice
92
given 2a² + 5b²
substitute given values for a and b into the expression
2(- 6)² + 5(2)² = (2 × 36 ) + (5 × 4) = 72 + 20 = 92
The slope is the factor in front of x, so slope is 9.
The y intercept is 7 (that's the point of cross the y axis, where x=0)
There are multiple definitions of "standard form" for lines, so here are the two i can think of:
9x - y = -7 (the implicit function form)
or
y-7 = 9*(x-0) (the point-slope form)
Lmk if you have questions.
