Question

NEED HELP ASAP (100pnts)

What is the slope and y-intercept from the table below?

m=____
b=____

(m=slope b=y-intercept)
​

Answer 1

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

`y = mx + b`

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

To find the slope, we need two points, according to the table we have:

`(x_ {1}, y_ {1}) :( 1,50)\\(x_ {2}, y_ {2}) :( 3,40)`

The slope is:

`m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {40-50} {3-1} = \frac {-10} {2} = -5`

Therefore, the equation is of the form:

`y = -5x + b`

We substitute one of the points and find "b":

`50 = -5 (1) + b\\50 = -5 + b\\50 + 5 = b\\b = 55`

Finally, the equation is of the form:

`y = -5x + 55`

Answer:

`m = -5\\b = 55`