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3 years ago

Please answer this question!! 30 POINTS AND BRAINLIEST!!

Mathematics

2 answers:

Mama L [17]3 years ago

6 0

Answer:

Yes, they are parallel

Step-by-step explanation:

You can rewrite the second equation in slope intercept form to get your answer.

x-2y-8=0

-2y=-x+8

y=1/2x-4

Since the slope of this line is the same as that of the first, they are parallel. Hope this helps!

Feliz [49]3 years ago

6 0

Answer:

see below

Step-by-step explanation:

Take the second equation and put it in slope intercept form

y = 1/2x+3

x -2y -8=0

Subtract x from each side

x-2y-8-x = 0-x

-2y -8 = -x

Add 8 to each side

-2y -8+8 = -x+8

-2y = -x+8

Divide each side by -2

-2y/-2 = -x/-2 +8/-2

y = 1/2 x -4

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

The slopes are the same and the y intercepts are different which means they are parallel lines. If they had the same slopes and the same y intercept they would be the same line

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Read 2 more answers

What is the slop intercept form of a line that passes threw (4,-4) and (8, -10)

BigorU [14]

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have two points through which the line passes, so we can find the slope:

$(x_ {1}, y_ {1}) :( 4, -4)\\(x_ {2}, y_ {2}) :( 8, -10)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-10 - (- 4)} {8-4} = \frac {-10+ 4} {4} = \frac {-6} {4} = - \frac {3} {2}$

Thus, the equation is of the form:

$y = - \frac {3} {2} x + b$

We substitute one of the points and find "b":

$-4 = - \frac {3} {2} (4) + b\\-4 = - \frac {12} {2} + b\\-4 + 6 = b\\b = 2$

Finally, the equation is of the form:

$y = - \frac {3} {2} +2$

ANswer:

$y = - \frac {3} {2} +2$

4 0

3 years ago