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Hello!
Slope intercept form is y = mx + b
m is the slope
b is the y-intercept
To turn the equation into the base form we have to get y by itself
-6y = -2x + 24
Divide both sides by -6
Simplify
To get the y-intercept we put 0 in for the x point and b for the y point
The y-intercept is (0, -4)
The slope is 1/3 which means every time x goes up by 3 the y goes up by 1
Other points are (3, -3) (6, -2) and (9, -1)
With 3 or more points we can plot a graph
Hope this Helps!
- y=2x²+6x+1
- y=-4x²+1
Make the equations equal and solve for x
- 2x²+6x+1=-4x²+1
- 6x²+6x=0
- 6x(x+1)=0
- 6x=0 or x+1=0
- x=0 or x=-1
For x=0
- y=-4(0)+1=1
For x=-1
- y=-4(1)+1=-3
The solutions are
- (0,1) and (-1,-3)
Graph attached
