Question

Solve it plz for brainlist

Answer 1

Given:

The function is

$y=6x-1$

To find:

The statement that correctly compares the function shown on this graph and the given function.

Solution:

Slope intercept form of a line is

$y=mx+b$         ...(i)

where, m is slope and b is y-intercept.

We have,

$y=6x-1$       ...(ii)

On comparing (i) and (ii), we get

$m=6,b=-1$

Slope of function is 6 and y-intercept is -1.

The graph passes through (0,-6) and (2,4). So, the y-intercept is -6 and slope is

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{4-(-6)}{2-0}$

$m=\dfrac{10}{2}$

$m=5$

Since, 5<6 and -6<-6, therefore, the function shown on the graph has smaller rate of change and a lower starting point.

Hence, the correct option is D.