Question

Please help???? Geometry

Answer 1

The equation for a line is y = mx + b. The m represents slope, and the b represents the y-intercept.

Finding the slope (m): rise over run or change in y over change in x

  rise        2     1 
-------- =  --- = ---
  run         8     4

Equation: y = 1/4 x + b


Finding y intercept:

Since the line crosses the y axis at (0,0), the y intercept is 0.

Equation: y = 1/4x 

Answer: E. y = 1/4x

Answer 2

Any line can be expresses as:

y=mx+b where m=slope=(y2-y1)/(x2-x1) and b=y-intercept (value of y when x=0)

First find the slope:

m=(2-0)/(8-0)=2/8=1/4 so we have thus far:

y=0.25x+b, we solve for b using any point on the line, (8,2)

2=0.25(8)+b

2=2+b 

0=b

So the line is:

y=.25x  which they might also express as y=x/4

The answer is E. (1/4)x