Question

What is the equation of the line passing through the points (-25,50) and (25,50) in slope intercept form?

Answer 1

Answer: y= 50x

Explanation:

Answer 2

`y=50`

Explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

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

we have the points (-25,50) and (25,50)

substitute

`m=(50-50)/(25+25)`

`m=(0)/(50)`

`m=0`

The slope is equal to zero , because is a horizontal line (parallel to the x-axis)

The equation of the line in slope intercept form is

`y=mx+b`

we have

`m=0\\b=50`

substitute

`y=50`

The equation of a horizontal line is equal to the y-coordinate of the point that passes through it