algebra questions?

Question

Can someone please help me on these I need to no how to get these by going through step by step process.Thank you for all your help...

1. Given the equation y = 3x – 2, if the x coordinate of a point on this line is 5, what is the y-coordinate?


2. Give three points that lie on the line 4x – y = 6.


3. What is the slope of the line y = -3x + 4?

Answer 1

1.

y= 3*5 -2 = 13

2.

4x - y =6 -> y=4x-6

for x=0 y= -6
for x=1 y= -2
for x=-1 y= -10

3.

y = -3x + 4?
for x=0 y=4
for x=1 y=1

y = mx + c

m=slope
slope = -3

Answer 2

1. Put 5 into the equation for x and find the corresponding value for y. For example, corresponding to x = 10, we have
y = 3*(10) - 2, or y = 28.

2. Make up three values for x and find the corresponding values for y. For example, if x = 1, then 4*(1) - y = 6, or
y = -2. Therefore, the point (1,-2) is on the line.

3. When the equation of a line is in the form y = mx + b, the number m is the slope of the line (and b is the y-intercept).

(Your questions do not indicate a very impressive level of knowledge. Have you been using Yahoo Answers too much?)

Answer 3

1. You substitute x for the value 5, so the equation becomes
y = 3(5) - 2
y = 15 - 2
y = 13

2. I assume you mean coordinates by 'points'. In that case, substitute x or y with any number. For example, substitute x as 0, then the equation becomes
4(0) - y = 6
0 - y = 6
-y = 6
y = -6
In this case, the coordinate is in the form of (x,y), which is (0,-6). I'm sure you can find the other two.

3. A linear equation is always in the form y = mx + c, where m is the gradient and c is the constant. In this case, the slope/gradient of the line is -3.

Answer 4

1. y = 3 x - 2
in order to get the y coordinate just substitute the value 5 on the variable x.

y = 3 (5) - 2 = 13

2. give three points that lie on the line 4 x - y =6.
just choose any 3 x points (ANY) and compute for y (like what i did in question 1.)

suppose i choose x = 1, x = 2, and x = 3

at x =1 ---> y = -2 therefore point (1,-2) lie on the line
at x =2 ---> y = 2 therefore point (2,2) lie on the line
at x =3 ---> y = 6 therefore point (3,6) lie on the line

3. bear in mind the equation of the line is y = mx + b
where m = slope and b = y intercept

therefore, the slope of y=-3x+4 is m = -3.

okay? ;p

Answer 5

I don't really understand the last 2 but the 1st is:

y=3x-2 if x is 5 then it's 3x5=15-2=13 the answer is 13

sorryif it might be wrong but that's all I can really give right now

Answer 6

1. y = 3(5)-2 so y coordinate = 13

2. (0,-6), (1.5,0) and (2,2)

3. -3

Answer 7

1) . . . y = 3(5) - 2 =13

2) points are . . (0, -6) . . ( 1, -2 ) . . .(3/2,0)

3) slope = -3

Answer 8

Sounds to me, young lady, that you could and should do a bit more algebra homework. In exams, teachers or examiners would not ask you a question that was not covered in the course.
So, ask your teacher or tutor!!!!!!

Answer 9

1) x=5, then y=13;
2) (1,-2); (2,2); (3,6)
3) 3/4