Question

A number Y is five times the value of a number X. A lion graft in a coordinate plane represents the relationship between XNY. What is the slope of the line?

Answer 1

Slope of the line = 5

Explanation:

Slope of a line is given by the equation,
`(\triangle Y)/(\triangle X)`

From the question, Y is five times of X. i.e. Y = 5X

ΔY = 5ΔX

The slope of the line becomes
`(5 \triangle X)/(\triangle X)`

Slope of the line = 5

Also, from Y = mX + b......(1)

Since Y = 5X...............(2)

Comparing equations (1) and (2) while the line starts from the origin i.e. intercept, b = 0

slope, m = 5

Answer 2

the slope of the line is 5

Explanation:

if the number y is five times the value of the number x, this can be expressed in the following way:

`y=5x`

we can compare this result with the general equation of a line:

`y=mx+b`

where
`m` is the slope of the line and
`b` is the y-intercept.

We can see that in our equation

`y=5x`

b is equal to zero:

`b=0`

and m is equal to 5

`m=5`

so, since m represents the slope of the line:

the slope of the line is 5