Question

The slope of line BD is

y
2b
2a-c
E(a, b)
A(0, 0)
G
B(2a, 2b)
D(c, 0)
F
LL
C(2c, 0)
What is the equation of BD, simplified?
y - y₁ = m(x − x₁)
(x-c)
= √2²²= c)
2b
2a -
y -0 =
0 y = | D x - (₂22bcc)
b
C
1
2a -
0 y =
0 y = | 2²0 |x-12 2²0-c
2a
2a C
0 y = ( 2b )x - ( 2bc)
(2a-c) (2a - 2c)

Answer 1

(c) y = 2b/(2a -c)x -2bc/(2a -c)

Explanation:

Given the equation of line BD in point-slope form you want the simplified equation.

y -0 = (2b/(2a -c))(x -c)

Simplified

The equation is simplified by using the distributive property to eliminate parentheses.

`y-0=(2b)/(2a-c)(x -c)\\\\\\y=(2b)/(2a-c)x-(2b)/(2a-c)c\\\\\\\boxed{y=(2b)/(2a-c)x-(2bc)/(2a-c)}\qquad\text{matches choice C}`

<95141404393>