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3 years ago

Graph y= - x - 6 on a graph

Mathematics

2 answers:

iogann1982 [59]3 years ago

5 0

Answer:

(Picture below)

Step-by-step explanation:

To solve this you will first need to make a coordinate plane that is 10 by 10.

After you have done that you will need to know what slope intercept form is. Slope intercept form is $y=mx+b$ and the equation that was given was $y=-x-6$ . In the formula $y=mx+b$ , $m$ is the slope or rise over run and b is where the line crosses the y axis.

Now that you know the basics of slope intercept form we can start graphing. so b in this equation is -6, so we will put the first point on -6. after we have done that we can start putting the points of the line. So since the slope is just -1x we will have to go down one and go to the right one about 3 times and just to finish it up go up and left on 3 times to. And there you have it.

Ede4ka [16]3 years ago

4 0

Yeah yeah singing challenge if I win I get to shave your head

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SVETLANKA909090 [29]

Answer:

C ( 11 , -11 )

Step-by-step explanation:

Solution:-

We are given two points in the cartesian coordinate system as:

A ( 3 , -5 ) B ( 13 , -15 )

The point C lies on the line segment from A to B. The ratio of segment given is:

AC / AB = 4 / 5

To solve such type of problems. We will use vector equation of line AC.

To form a vector equation of line representing AB. We will first determine the direction vector ( d ) that is parallel to the line AB as follows:

d = OB - OA

d = < 13 , -15 > - < 3 , -5 >

d = < 10 , -10 >

The fixed point on the line is taken. We will take point A. The vector equation of line from point A to point B is expressed as:

< x , y > = OA + s*d

< x , y > = < 3, -5 > + s* < 10 , -10 >

The above equation satisfies all the points that lies on the line AB. To determine the coordinates of ( C ). We will plug in the appropriate value of parameter ( s ) and evaluate.

So point C is 4/5 th the magnitude of the distance AB from A. Hence, s = 4/5 as follows:

< x , y > = < 3 , -5 > + ( 4/5 ) * < 10 , -10 >

< x , y > = < 3 , -5 > + < 8 , -8 >

< x , y > = < 11 , -11 > ... Answer

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