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Write the equation of the line in fully simplified slope-intercept form.

Write the equation of the line in fully simplified slope-intercept form.-example-1
User Piyush N
by
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1 Answer

7 votes

Answer:

y = 1/3 x - 6

Explanation:

Notice that the slope-intercept form is:

y = mx + b

where:

y = y coordinate

m = the slope

x = x coordinate

b = y intercept.

in the plot we can see that the line intercepts the y axis at -6. So b = -6.

to calculate the slope, take any two points on the line, let's say ( 0, -6) and ( 3, -5)

then recall the slope formula is

(y2-y1)/(x2-x1)

from the formula we get:

(y2-y1)/(x2-x1) = ( -5 + 6)/ (3-0) = 1/3

here m = 1/3

so now we subtitle the values back to the slope-intercept formula.

y = 1/3 x - 6

User Kevin Van Ryckegem
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