Question

Write the equation of a line that includes the point (4, –2) and has a slope of 0 in slope-intercept form.

y = –2
y = x – 2
y = x
y = x + 2

Answer 1

Final answer: y=0x-2, which is y=-2

Answer 2

The correct option is 1.

Explanation:

The slope intercept form of a line.

`y=mx+b`

The point slope form of a line is

`(y-y_1)=m(x-x_1)`

where, m is slope of the line.

It is given that the slope of a line is 0 and it passes through the point (4,-2). So the point slope form of a line is

`y-(-2)=0(x-4)`

`y+2=0`

Subtract 2 from both the sides.

`y+2-2=0-2`

`y=-2`

The equation of line is y=-2. Therefore the correct option is 1.