Respuesta :

The slope-intercept equation of the line is obtained as y  = -1/3x - 3.

Define the slope-intercept equation?

  • When you have the slope of a line to be investigated and the given point is also the y intercept, you can utilize the slope intercept formula, y = mx + b. (0, b).
  • The y value of a y intercept point is denoted by the symbol b in the formula.

For the stated question,

Passes points (x1, y1) = (3,-4).

slope m = -1/3

Slope-intercept equation for the equation of the line is obtained using two point form equation-

y - y1 = m(x - x1)

y - (-4) = (-1/3)(x - 3)

y + 4 = -1/3x + 1

y  = -1/3x - 3

In which slope is -1/3  and y-intercept is -3.

Thus, the slope-intercept equation of line is obtained as y  = -1/3x - 3.

To know more about the slope-intercept equation, here

https://brainly.com/question/25722412

#SPJ1