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Write down equation of lines l and m

Write down equation of lines l and m-example-1
User Ian Patrick Hughes
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1 Answer

20 votes
20 votes

Explanation:

I assume you need the slope-intercept form

y = ax + b

"a" is the slope of the line, "b" is the y- intercept (the y-value when x = 0).

the slope is the ratio (y coordinate change / x coordinate change) when going from one point on the line to another.

for l we go from (5, 20) to (8, 80) and get

x changes by +3 (from 5 to 8)

y changes by +60 (from 20 to 80)

the slope is therefore

+60/+3 = 20/1 = 20 = a

so, we have

y = 20x + b

the y- intercept looks to be -80, but to be sure we use a point (e.g. 5, 20)

20 = 20×5 + b = 100 + b

b = -80

yes, the equation is

y = 20x - 80

for m we go from (5, 20) to (8, -40) and get

x changes by +3 (from 5 to 8)

y changes by -60 (from 20 to -40)

the slope is

-60/+3 = -20/1 = -20

we have therefore

y = -20x + b

we use the same trick for b as before

20 = -20×5 + b = -100 + b

b = 120

and our full equation is

y = -20x + 120

User Kourosh Raoufi
by
3.1k points