Question

Leon began deriving the equation of line CF below the calculating the length of both line segment BC as q. He then defined the length of line segment DE as X and the length of line segment EF as Y — 3 what should he get for the equation of the line once he sets up a proportion and simplifies?​

Answer 1

Answer:

Point B lies on the line segment AC. Let it divide the line segment in the ratio, , thus

Using the formula, coordinates of are given by

where

;

Given :

Solving the x-coordinate for k; we get;

AB/BC=0.25 (Answer)

Answer 2

Answer:

y = x + 3 is the equation of the line.

Step-by-step explanation:

The equation of line is y = mx + c

y is the y coordinate.

x is the x coordinate.

m is the slope.

c is the intercept on x.

Slope

$\frac{y - 3}{x}$

with the coordinates the slope is

$\frac{7 - 3}{4 - 0} = 1$

equating the slope

$\frac{y - 3}{x} = 1 \\ y - 3 = x \\ y = x + 3$

So the line equation is y = x+3

with slope 1 and intercept 3

The slope is proved by the graph and also the intercept.