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8 Write the equation of the line in standard form, point-slope form, and slope-intercept form. 4 -2 DELL

8 Write the equation of the line in standard form, point-slope form, and slope-intercept-example-1

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step 1

Find the slope

we need two points

take the points (0,3) and (1,0)

m=(0-3)/(1-0)

m=-3

step 2

Find the equation of the line in slope intercept form

y=mx+b

we have

m=-3

b=3

substitute

y=-3x+3

step 3

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=-3

point (0,3)

y-3=-3(x-0)

y-3=-3x

step 4

standard form

AX+By=C

we have

y=-3x+3

3x+y=3 -----> standard form

User Rupesh Shinde
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