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Write each equation in slope-intercept form (3,4); and (-6,-2)

User Bboy
by
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2 Answers

7 votes

Answer:

y = 2/3x + 2

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

7 votes

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


Slope = (y2-y1)/(x2-x1) =(4-(-2))/(3-(-6)) =(6)/(9)=(2)/(3)

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


y - y_(0) =m(x-x_(0) )\\y-4=(2)/(3) (x-3)\\

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


y - 4 = (2)/(3) x -2\\y = (2)/(3) x +2

Hope that helps!

User Mignon
by
7.4k points

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