Question

Write the slope-intercept form (y=mx + b) of the blue line. Explain or show your work. Write a one sentence summary comparing the blue line to the black line. Hint: Find the y-intercept. Then count up and over (y/x) to the next point on the line to determine the slope.

Answer 1

y=1/2x+2(2 is the y-intercept)

The blue line and black line have the same y-intercept, but the black line has a slope 1/6 greater than the blue line.

Hope it helps <3

Answer 2

`\boxed{y=(1)/(2) x+2}`

Explanation:

Let's take any of the coordinates of blue line to find the slope

The coordinates are (4,4) and (0,2)

Slope =
`(y2-y1)/(x2-x1)`

Slope =
`(2-4)/(0-4)`

Slope =
`(-2)/(-4)`

Slope = m = 1/2

Y-intercept = b = 2 (Because here x= 0)

So, the slope intercept equation becomes:

=>
`y = mx+b`

=>
`y = (1)/(2) x+2`