Compare the table and equation. x y 1 3 2 6 3 9 Equation: y = 4x Which representation has the greatest slope?

Mathematics

1 answer:

aniked [119]2 years ago

6 0

Answer:

a) The equation has the greatest slope.

Step-by-step explanation:

The table has the values as shown below;

x y

1 3

2 6

3 9

The gradient of the line can be found as;

m=Δy/Δx

m= 9-3 /3-1

m= 6/2

m₁= 3

The equation of the other line is : y=4x

The gradient is , m₂ = 4

The presentation with the greatest slope is the equation that has a slope of 4.

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Please help with the following question

Alex17521 [72]

P1=(0,0)=(x1,y1)→x1=0, y1=0
P2=(3,-2)=(x2,y2)→x2=3, y2=-2

Slope: m=(y2-y1)/(x2-x1)
m=(-2-0)/(3-0)
m=(-2)/3
m=-2/3

Point-slope equation:
y-y1=m(x-x1)
y-0=(-2/3)(x-0)
y=-(2/3)x

Answer: The equation of the line is: y=-(2/3)x

5 0

3 years ago

A line has slope 2/3 and y intercept -2. Which answer is the equation of the line?

Bingel [31]

Answer:

y=2/3x-2

Step-by-step explanation:

All of the given options are in slope intercept form.

Slope intercept form is y=mx+b

This is where m is the slope fo the line and b is the y intercept

That said, we can simply plug the given values into the form.

y=(2/3)x+(-2)

Simplify

y=2/3x-2

6 0

2 years ago

Read 2 more answers

Which of the following shows the division problem below in synthetic division form? (6x^3+x^2-3)/(x-7)

PSYCHO15rus [73]

Answer:

Option C.

Step-by-step explanation:

If a polynomial P(x) is divided by (x-c), then we write leading coefficients inside the synthetic division line and c outside the synthetic division line.

The given division problem is

$\dfrac{6x^3+x^2-3}{x-7}$