Question

Find the equation of the line using the exact numbers

Answer 1

y = -0.25x - 6

Explanation:

You can either just read off the slope m = -0.25 and the intersection with the vertical n = -6 or you form a system of equations from points you choose on the graph. For example:

(0,-6);(4,-7)

The general equation for a line:

y = m*x + n

The two points on the graph form a system of two equations:

1. -6 = m*0 + n

2. -7 = m*4 + n

You can read off n right away fro equation 1:

n = -6

Plugging n into equation 2:

-7 = m*4 - 6 => -1 = m*4 => m = -1/4

Answer 2

It wants you to write the answer in slope intercept form

y = mx + b

m is the slope (
`(rise)/(run)`)

b is the y-intercept (where the line intersects the y axis)

The rise is 1

The run is -4 (this is negative because it runs from right to left)

^^^Both of these can be seen labeled in pink on the graph below

Slope:
`(-1)/(4)` = -0.25

^^^This has a negative slope because the line is decreasing from left to right

Y - intercept: (0, - 6) <<< b will just be -6

^^^Can be seen labeled in green on the graph below

We know that m (slope) is
`(-1)/(4)` (aka -0.25)and that b is -6. You can plug this into the equation y = mx + b:

y =
`(-1)/(4)`x - 6

OR

y = -0.25x - 6

Hope this helped!

~Just a girl in love with Shawn Mendes