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Write an equation for the line in slope intercept form

Write an equation for the line in slope intercept form-example-1
User Kujawk
by
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1 Answer

5 votes

Answer:


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

Explanation:

Slope-intercept form: y = mx + b

Slope (m):
(y_2-y_1)/(x_2-x_1)

Use two points on the line to find the slope (m)

(4, 1) and (-4, 7)


m=(7-1)/(-4-4) \\\\m=(6)/(-8)\\\\m=-(6/2)/(-8/2)\\\\m=-(3)/(4)

y = mx + b


y=-(3)/(4)x+b

Now we find b, using either (4, 1) or (-4, 7)

(4, 1)


y=-(3)/(4)x+b\\\\1=-(3)/(4)(4)+b\\\\1=-3+b\\+3 +3\\\\4=b


y=-(3)/(4)x+b== > y=-(3)/(4)x+4

Check your answer using either of the points:


(4,1)\\y=-(3)/(4)x+4\\\\1=-(3)/(4)(4)+4\\\\1=-3+4\\\\1=1

This statement is true

Therefore, our final answer is
y=-(3)/(4)x+4

Hope this helps!

Write an equation for the line in slope intercept form-example-1
User Rnystrom
by
7.8k points

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