Question

select the equation of the line that passes through the point (3,-1) and is parallel to the line on the graph

Answer 1

y= -1

Explanation:

The given line in the graph has equation

This line is a horizontal line.

All horizontal line has a slope of 0.

Let the equation of the line that is parallel to this line be

The slope of this line must also be zero.

We substitute the slope, m=0 and the point (3,-1) into this equation to get:

Hence the required equation is

Answer 2

y=-1

EXPLANATION

The given line in the graph has equation

`y = 2.5`

This line is a horizontal line.

All horizontal line has a slope of 0.

Let the equation of the line that is parallel to this line be

`y = mx + b`

The slope of this line must also be zero.

We substitute the slope, m=0 and the point (3,-1) into this equation to get:

`- 1 = 0(3) + b`

`\therefore \: b = 0`

Hence the required equation is

`y = - 1`