The linear relationship between two variables is best expressed mathematically by the equation:?

Question

(there are four choices)

1) y= ax2+bx+c

2) sin(x+y) = sinx cosy + cosx siny

3) A2 + B2 = C2

4) y = mx + b

please help!!!

Answer 1

y =mx + b

First, the word linear will tell you this is the answer, as linear graph functions follow this format. From "best expressed", i got the hint that 4) is the answer cos its is the most direct relation. i.e. you plot in x and you get y, like a direct mirror.

1) A quadratic equation will give you 2 solutions to a number you plot in, and from this itself, we can eliminate it.
2) Complicated. The relationship isnt clear also, cos the entire thing seems to be pure gibberish
3) This formula can only be applied in a right angled triangle. So it only shows ONE kind of relationship two variables can have.

Hope this helps=)

Answer 2

The answer is number 4, because this is the form for the equation of a straight line, which expresses the relationship between two variables, x and y, contained on the line.

Number 1 is simply the quadratic formula, and has nothing to do with linear variables.

Number 2 is the formula for the sine of the sum of two angles, x and y. Again, it has nothing to do with linear relationships.

Number 3 is the Pythagorean Theorem, which is used in figuring the relationships between sides of right triangles.

Answer 3

Let the two digit number be 'xy' 7 times a two digit number = 7(10x +y) 4 times the number obtained by reversing the order of its digits = 4 (10y + x) 7(10x +y) = 4 ( 10y +x) 70x + 7y = 40y + 4x 70x -4x = 40y -7y 66x = 33y y = 66x/33 = 2x x - y = 3 /////Difference between the digits is 3. x - 2x = 3 -x = 3 x = -3 y = 2x = 2*-3 = -6 xy = -36 or 36 Check: 7*36 = 252 ; 4*63 = 252 7*-36 = -252 ; 4*-63 = -252 Difference between the digits is 3.

Answer 4

y = mx + b, where m is slope and b is y-intercept. x and y are the two variables, and since x is to the first degree (1st power), it is a linear relationship.

(that's why #1 is not the right answer).

Answer 5

y =mx + b
if you plot the (x,y) coordinates for this on x-y plane you get a straight line.
here m is the slope of straight line and b is the y-intercept.
This depicts the linear relation between x and y

Answer 6

4) y=mx+b

Answer 7

y = mx + b

This is the equation you would use for a line (linear) where "y" and "x" are your two variables, m is the slope of the line and b is the y-intercept.

Answer 8

y=mx+b as it is an equation of a line...

Answer 9

Definitely ..... y=mx+b