How do you sketch the following liness on the graph?

Question

a) x=7

b) y = -5

c) 2x-4y=4

Answer 1

a) draw a vertical (up and down) line at 7 on the x-axis

b) draw a horizontal (right and left) line at -5 on the y-axis

c) plot the following pts and connect the dots.
(0,-1)
(-2,0)
(2,-2)

hope this helps =)

Answer 2

The first one is a vertical line at x=7.
The second one is a horizontal point at y = -5.
For the third one, you should arrange the equation in the form
y = mx + c
ie, 4y = 2x - 4 , then divide by 4 to make y the subject matter
y = 1/2 x - 1

So you can substitute numbers to get 2 coordinates and just draw a straight line through both points, or you can see that the y-intercept is -1, which means that the graph crosses the vertical axis at -1, and the graph has a gradient of 1/2, means for each unit of y moved, the graph moves in the direction of the x-axis by 2 units...

Answer 3

a) plot all x,y coordinates where x=7

so, 7,1 and 7,2 and 7,3 and 7,4, and...

also 7,-1 and 7,-2 and 7,-3 and 7,-4 and...

you will have a veritcal line which is perpendicular to the x-axis and intersects the x-axis at x=7

b) plot all x,y cooredinates where y = -5

so, 1,-5 and 2,-5 and 3,-5 and 4,-5

you will have a horizontal line which is perpendicular to the y-axis and intersects the y-axis at y = -5

c) 2x - 4y = 4

you must first reduce this equation to its simplest form,

and

x must be on one side of the equal sign

and y must be on the other side of the equal sign

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

now calculate your x coordinates with a set of y coordinates
where y = 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5

example x=2y+2 where y=5
x=2(5) + 2
x=10 + 2
x = 12

the first coordinate is 12,5

now enter all other y coordinates and calculate x to find the x,y pair

now plot all x,y pairs on your graph



You thought this was going to be easy?

SMILE!!!!

Answer 4

x=7 is a vertical line that passes through 7 on the x(horizontal) axis
7=-5 is a horizontal line that passes through -5 on the y(vertical) axis
2x-4y=4 can be simplified to x=2y+2 which is a diagonal line that passes through (2,0),(4,1),(6,2), etc.

you can check these answers by putting the coordinates of any point on that line into the equation and ensuring that the equation is true. for example: a point (7,5) exists on the line x=7, when you input the 7 into the equation, you get 7=7, which is true. another example is that the point (2,0) exists on the line 2x-4y=4, when you but the 2 and the 0 in this equation you get 2(2)-4(0)=4... which simplifies to 4=4 which is also true. hope this helps.

Answer 5

well the first 2 are simply points on the graph. on the x axis and another one is on the y axis, i am not sure about the third one though, if the the first 2 are related to 3rd i would suggest you plug them in, see if it comes to 4 and then i guess you just have to connect the 2 points...but i am not too sure, i haven't done this in years

Answer 6

GETA GRAPHING CALCULATOR!!!!!