Question

A line passes through (5,-4) and (-1,-4). Write the equation of the line in slope-intercept form.

Answer 1

Step-by-step explanation:

The formula of the slope of a line that passes through points (x1, y1) and (x2, y2) is:

`m=(y_1-y_2)/(x_1-x_2)`

For this problem the slope is:

`m=(-4-(-4))/(5-(-1))=(-4+4)/(5+1)=(0)/(6)=0`

A slope of zero indicates that the line is horizontal. Therefore it is a constant.

The slope-intercept form of the equation of a line is:

`y=mx+b`

Where m is the slope and b is the y-intercept. In this case, the slope is zero so we just have:

`y=b`

b is the y-coordinate of the given points: b = -4

Answer:

y = -4