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Find an equation for the line below.

Find an equation for the line below.-example-1

1 Answer

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Answer:
y = (1)/(2)x + (1)/(2)

Explanation:

Step 1: Find the slope using the two points given


(3,2)and
-(5,-2)

use the slope formula ->
slope = (y2 - y1)/(x2 - x1)


= (-2-2)/(-5 - 3)


= (-4)/(-8)


= (1)/(2)

Plug in the slope into the slope-intercept form ->
y = mx + b


y = (1)/(2)x + b

Step 2: Find the y-intercept (also known as b in the formula above):

Do this by taking any point (3,2) or (-5,-2) and plugging it into the slope equation in Step #1


(3,2)\\y = (1)/(2)x + b\\2 = (1)/(2)(3) + b\\2 = (3)/(2) + b\\4 = 3 + 2b\\1 = 2b\\b = (1)/(2)

Step 3: Plug in the slope we found in step 1 and the y intercept in step 2


y = mx + b\\y = (1)/(2)x + (1)/(2)

User Shettyh
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