Question

Find the slope of a line parallel to 3x – y = 1.

A. –3

B. 3

C. one third

D. negative one third

Answer 1

the answer is B, because you must put the equation into the y=mx+b order so you subtract -3x on both sides to be left with -y=-3x+1 and you then divide the entire equation (both sides) by -1 because y cannot be negative which leaves you with y=3x-1 so the slope id 3 and the y intercept is -1 

Answer 2

3

B is correct option.

Explanation:

The equation of the line is
`3x-y=1`

Convert this equation in slope intercept form y = mx + b, where m is the slope and b is the y-intercept.

Subtract 3x to both sides of the given equation

`-y=-3x+1`

Divide both sides by -1

`y=3x-1`

On comparing this equation with slope intercept form of a line y= mx+b

m = 3, b = -1

Hence, slope of the given line is 3.

Now, we know that parallel line have same slope.

Thus, slope of the required line is equal to the slope of given line.

Therefore, the slope of the required line is 3.