Question

Choose the equation of the line passing through the point (1, -5) and perpendicular to y =1/5 x - 10.

y = 5x + 10

y = 5x

y = -5x - 10

y = -5x

Answer 1

@Noura11

Answer 2

An equation of the line :
\[y=mx+b\]
And because this line is perpendicular to y=1/5x-10 ,then :
\[-1=\frac15\times m\]
And then :
\[m=-5\]
Now to find be we have :
\[-5=m\times 1+b\]
So :
\[b=-5-m=-5-(-5)=-5+5=0\]
So an equation of the line is :
\[y=-5x\]

Answer 3

Thanks :) Help me with some more please ?

Answer 4

@Noura11

Answer 5

I am here !

Answer 6

Choose the equation below that represents the line passing through the point (1, -4) with a slope of 1/2

y - 4 =1/2 (x - 1)

y + 4 = 2(x - 1)

y + 4 =1/2 (x - 1)

y - 4 = 2(x + 1)

Answer 7

@Noura11

Answer 8

The slope is :
\[m=\frac12\]
So :
\[\frac{y-(-4)}{x-1}=m=\frac12\]
So :
\[y+4=\frac12(x-1)\]

Answer 9

Thanks :) Theres only a few more

Answer 10

@Noura11

Answer 11

Choose the equation of the line passing through the point (-3, 1) and parallel to y = -x - 4.

y = x + 2

y = -x - 2

y = -x + 4

y = x - 4

Answer 12

@Noura11

Answer 13

An equation of the line is :
\[y=mx+b\]
Since the line is parallel to y=-x-4 then m=-1
To find b we have :
\[1=m\times (-3)+b\]
Then :
\[b=1+3m=1+3\times(-1)=1-3=-2\]
An equation is :
\[y=-x-2\]

Answer 14

Choose the equation of the line passing through the point (3, -2) and parallel to y = 3x - 6.

y = 3x + 7

y = 3x - 11

y = -3x + 11

y = -3x - 12

Answer 15

@Noura11

Answer 16

It is like the previous one

Answer 17

Choose the equation of the vertical line passing through the point (8, -2).

x = -2

y = -2

x = 8

y = 8

Answer 18

@Noura11

Answer 19

Since the line is vertical then :
\[x=b\]
To find b, since (8,-2) is from the line
then
\[8=b\]

Answer 20

Identify the correct x intercept and y intercept of the equation x + 7y = -21 @Noura11

Answer 21

To find the x-intercept we solve :
\[x=0\]
this means :
\[-21-7y=0\]
And :
\[y=\frac{-21}{7}=-3\]
So, the x-intercept is the point (0,-3)

Now : To find the y-intercept we solve :
\[y=0\]
this means :
\[-\frac17x-3=0\]
And :
\[x=-21\]
So, the y-intercept is the point (-21,0)

Answer 22

wait, -21 is the x or y intercept ? @Noura11

Answer 23

The x-intercept is : (-21,0) and the y-intercept is (0,-3) I have done a mistake ! :)

Answer 24

Choose the equation below that represents the line passing through the point (2, -4) with a slope of 1/2.

y =1/2 x + 5

y =1/2 x - 3

y =1/2 x - 5

y =1/2 x + 3

Answer 25

@Noura11

Answer 26

Is it not clear to you ?

Answer 27

I dont understand -.- @Noura11

Answer 28

You have to try to solve it, even it is false !

Answer 29

Which of the following is the slope between the points (2, 3) and (-3, 0)? @Noura11

Answer 30

The slope m is calculated by :
\[m=\frac{y_2-y_1}{x_2-x_1}\]