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Use the point-slope formula to write an equation of the line that passes through (-5,3) and

(4,6). Write the answer in slope-intercept form (if possible).

User Baleato
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1 Answer

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Answer:

The equation in point slope form is
y-6=(1)/(3)(x-4)

The equation in slope intercept form is
y=(1)/(3)x-(14)/(3)

Explanation:

step 1

Find the slope m

The formula to calculate the slope between two points is equal to


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

we have


(-5,3),(4,6)

Substitute the values


m=(6-3)/(4+5)


m=(3)/(9)

simplify


m=(1)/(3)

step 2

Find the equation of the line in point slope form


y-y1=m(x-x1)

we have


m=(1)/(3)


(4,6)

substitute


y-6=(1)/(3)(x-4) ---> equation in point slope form

step 3

Find the equation of the line in slope intercept form


y=mx+b


y-6=(1)/(3)(x-4) ----> convert to slope intercept form


y-6=(1)/(3)x-(4)/(3)


y=(1)/(3)x-(4)/(3)+6


y=(1)/(3)x-(14)/(3)

User Abdeldjalil Sekkal
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