Answer:
The asymptotes are the x-values for which the tangent function is not defined. We draw these in to remind us that the function does not cross that line. They are the odd multiples of 90°
Step 1: Rewrite equation
2x+3y=6
Step 2: To get y alone on the left side, subtract 2x on both sides
2x+3y=6
-2x -2x
__________
3y=-2x+6
Step 3: Divide 3 on each number
3y=-2x+6
/3 /3 /3
________
y=-2/3x+2
Final equation: y=-2/3x+2
Hope this helps comment below for more questions :)
Get this equation into y=mx+b form.
y-2=-3(x-4)
y-2=-3x+12
y=-3x+12+2
y=-3x+14
Hope this helps!
And just a note, this is provided in point-slope formula, meaning there is a point on the line, (4,2), based on the initial equation.
Since the shape is a square, it has 90° angles.
if cut in half, it creates a 45-45-90 triangle.
using this, you can use the ratio of 1:sqrt2 to find x. so the ratio would be x:6 to 1:sqrt2.
divide 6 by sqrt2 to find x, and then rationalize for it to become 6sqrt2/2, which would simplify even further to 3sqrt2
