Respuesta :
Answer:
the slope of the line is 5
Step-by-step explanation:
if the number y is five times the value of the number x, this can be expressed in the following way:
[tex]y=5x[/tex]
we can compare this result with the general equation of a line:
[tex]y=mx+b[/tex]
where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the y-intercept.
We can see that in our equation
[tex]y=5x[/tex]
b is equal to zero:
[tex]b=0[/tex]
and m is equal to 5
[tex]m=5[/tex]
so, since m represents the slope of the line:
the slope of the line is 5
Answer:
Slope of the line = 5
Step-by-step explanation:
Slope of a line is given by the equation, [tex]\frac{\triangle Y}{\triangle X}[/tex]
From the question, Y is five times of X. i.e. Y = 5X
ΔY = 5ΔX
The slope of the line becomes [tex]\frac{5 \triangle X}{\triangle X}[/tex]
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
