Answer:
Step-by-step explanation:
x² - 2x + y² - 4y - 4 = 0
x² - 2x + y² - 4y = 4
complete the squares
(x² - 2x + x₀) + (y² - 4y + y₀) = 4
the unknown number will be the square of half of the x¹ coefficient
(x² - 2x + 1) + (y² - 4y + 4) = 4 + 1 + 4
(x - 1)² + (y - 2)² = 9
This tells us that the circle is centered on (1, 2)
Which is also a point on the diameter
2x - y + a = 0
a = y - 2x
a = 2 - 2(1)
a = 0
To find the slope, we put this in y = mx + b form where m is ur slope.
3x - 4y = 7.....subtract 3x from both sides
-4y = -3x + 7 ...now we divide both sides by -4
(-4/-4)y = (-3/-4)x + (-7/4)...simplify
y = 3/4x - 7/4
y = mx + b
y = 3/4x - 7/4.....so the number in the m position is 3/4 <== ur slope
Answer:
sqrt(8) or 2.828
Step-by-step explanation:
You use the distance formula which is sqrt((x2-x1)^2+(y2-y1)^2) where x2 can be either x value
