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Use slopes and y-intercepts to determine if the lines 5x + 2y = -3 and 2x - y = -2 are parallel.

Sagot :

Use slopes and y-intercepts to determine if the lines 5x + 2y = -3 and 2x - y = -2 are parallel.

step 1

we have the line

5x + 2y = -3

isolate the variable y

2y=-5x-3

y=-2.5x-1.5

the slope is m=-2.5

y-intercept b=-1.5

step 2

we have

2x - y = -2

y=2x+2

the slope is m=2

the y-intercept is b=2

step 3

Compare their slopes

m=-2.5

m=2

the slopes are not equal

that means

the lines are not parallel

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