Respuesta :

sqdancefan

Answer:

Step-by-step explanation:

One of the given points is the y-intercept. That means you can write the equation in slope-intercept form once you have found the slope.

  m = slope = (change in y)/(change in x) = (y2 -y1)/(x2 -x1)

  = (-3 -(-2))/(0 -(-3)) = -1/3

The slope-intercept form for slope m and intercept b is ...

  y = mx +b

For slope -1/3 and intercept -3, the equation is ...

  y = -1/3x -3

Ver imagen sqdancefan
Lanuel

Based on the calculations, the equation of this line in standard form is equal to y = -x/3 - 3.

How to write an equation of a line?

Mathematically, the standard form of the equation of a line is given by this formula:

y - y₁ = m(x - x₁)

Where:

  • m is the slope.
  • y is the point on the horizontal axis.
  • x is the point on the vertical axis.

Next, we would determine the slope of this line:

[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\\\\Slope = \frac{-3\;-\;(-2)}{0\;-\;(-3)}\\\\Slope = \frac{-1}{3}[/tex]

Slope = -1/3.

Now, we can write the equation of this line:

y - (-2) = -1/3(x - (-3))

y + 2 = -x/3 - 1

y = -x/3 - 1 - 2

y = -x/3 - 3.

Read more on equation of a line here: https://brainly.com/question/8101515

#SPJ9

Otras preguntas