Question

which of the following is the equation of a line in slope intercept fprm for a line with slope 1/4 and y intercept at (0, -1)

Answer 1

The equation of the line with the given slope and y intercept at (0,-1)

`y = (1)/(4) x - 1`

Step-by-Step Explanation:

To find an equation of a line when given the slope and a point we can use the formula:.

`y - y1 = m(x - x1)`

We have:

• m = 1/4
• x1 = 0
• y1 = -1

Plugging the values:

`y - ( - 1) = (1)/(4) (x - 0)`

Now simplifying this more.

`y + 1 = (1)/(4) x`

We can move 1 to the other side of the equation.

`y = (1)/(4) x - 1`

Answer 2

`y = (1)/(4) x - 1 \\`

Explanation:

To find an equation of a line when given the slope and a point we use the formula

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

From the question we have

`y + 1 = (1)/(4) (x - 0) \\ y + 1 = (1)/(4) x`

We have the final answer as

`y = (1)/(4) x - 1 \\`

Hope this helps you