Question

Write an equation in slope-intercept form for the line described.

1. slope 2, y-intercept at 0
2. parallel to

Answer 1

For this case we have that by definition, the equation of the line in 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

According to the data of the statement we have to:

`m = 2\\b = 0`

Thus, the equation is of the form:

`y = 2x + 0\\y = 2x`

On the other hand, we have to by definition if two lines are parallel then their slopes are equal.

Answer:

1.
`y = 2x`

2.By definition if two lines are parallel then their slopes are equal.