Respuesta :

Answer:

[tex]y = \frac{1}{4} x - 1 \\ [/tex]

Step-by-step explanation:

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

[tex]y - y_1 = m(x - x_1)[/tex]

From the question we have

[tex]y + 1 = \frac{1}{4} (x - 0) \\ y + 1 = \frac{1}{4} x[/tex]

We have the final answer as

[tex]y = \frac{1}{4} x - 1 \\ [/tex]

Hope this helps you

Answer:

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

[tex]y = \dfrac{1}{4} x - 1[/tex]

Step-by-Step Explanation:

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

[tex]y - y1 = m(x - x1)[/tex]

We have:

  • m = 1/4
  • x1 = 0
  • y1 = -1

Plugging the values:

[tex]y - ( - 1) = \dfrac{1}{4} (x - 0)[/tex]

Now simplifying this more.

[tex]y + 1 = \dfrac{1}{4} x[/tex]

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

[tex]y = \dfrac{1}{4} x - 1[/tex]