Respuesta :

Answer:

y = 2/3x + 2

Step-by-step explanation:

Slope intercept form is y=mx+b where m is the slope and b is the y intercept.

Given 2 points you can find the slope using (y-y1)/(x-x1)

m = (-2-4)/(-6-3) = -6/-9 = 2/3

To find b use one of the points and m and plug into the slope intercept form and then solve for b.

y=mx+b

4=2/3(3) + b

4=2 + b

b=2

Now we can write the final equation as : (plug m and b back in)

y = 2/3x + 2

linandrew41

To write in slope-intercept form, we must first find the slope.

  [tex]Slope = \frac{y2-y1}{x2-x1} =\frac{4-(-2)}{3-(-6)} =\frac{6}{9}=\frac{2}{3}[/tex]

Now lets put into the point-slope form which requires the use of any one of the two points given which in this case can be (3,4) and the slope 2/3

 [tex]y - y_{0} =m(x-x_{0} )\\y-4=\frac{2}{3} (x-3)\\[/tex]

Now to put into the slope-intercept form, we must solve for y:

[tex]y - 4 = \frac{2}{3} x -2\\y = \frac{2}{3} x +2[/tex]

Hope that helps!

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