Identify the slope an intercept of the following linear equation
y = 1/5x - 6

A. Slope: 1/5; intercept: -6
B. Slope: 5; intercept: -6
C. Slope: -1/5; intercept: 6
D. Slope: 1/5; intercept: 6

Respuesta :

ANSWER


A. Slope:
[tex] \frac{1}{5} [/tex]
intercept:
[tex] - 6[/tex]



EXPLANATION

The given function is

[tex]y = \frac{1}{5} x - 6[/tex]


We now compare this to the general equation in the slope intercept form, which is

[tex]y = mx + c[/tex]

where

[tex]m = \frac{1}{5} [/tex]

is the slope and
[tex]c = - 6[/tex]


is the y-intercept.



The correct answer is option A.

Answer:

Choice A is correct answer.

Step-by-step explanation:

y= mx+c is slope-intercept form for equation of line where m denotes slope and c denotes y-intercept.

Slope is ratio of change in y to change in x.

slope=  m =  Δy/Δx

y-intercept is a point on graph where the value of x is zero.

Given equation is :

y = 1/5x-6

hence,Slope =  m=  1/5 and y-intercept = c =  -6

Hence, Choice A is your answer.