Respuesta :

thefoof

Answer:

y = 2/3x - 1 (or y = 2/3x + -1 to fit the graphic)

Step-by-step explanation:

Slope intercept form is written as (y = mx + b) where m is slope and b is the y intercept.

First you need to find the slope, m. We'll use the two points (-3, -3) and (3, 1)

m = (y2 - y1) / (x2 - x1)

m = (1 - (-3)) / (3 - (-3))

m = 4/6

m = 2/3

Next we need the y intercept, b. On the graph we can see that is -1 but we can also find it substituting the known slope and one point on the line for our values to solve for b. We'll use (3, 1) as the point.

y = mx + b

1 = 2/3 * 3 + b

simplify 2/3 * 3

1 = 2 + b

subtract 2 from both sides

-1 = b

Now we have all the values we need to plug into our slope intercept equation (m = 2/3, b = -1)

y = mx + b

y = 2/3x - 1

Answer:

[tex]\sf{y=\displaystyle\frac{2}{3} x-1[/tex]

Solution:

  • We are given two points: (3, 1) and (-3, -3).
  • We can use these points to find the slope of the line:
  • m=[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]
  • [tex]\displaystyle\frac{-3-1}{-3-3} =\frac{-4}{-6} =\frac{2}{3} \longleftarrow\sf{slope}[/tex]
  • Now, we need to identify the line's y-intercept.
  • The y-intercept is the point where the graph touches the y-axis.
  • Since the graph touches the y-axis at (0, -1) the y-intercept is equivalent to (0, -1) or -1.

Hope it helps.

Do comment if you have any query.

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