contestada

Xin graphs the equation y= 4x-6. Select all the statements that are true. The graph is a curve line, The line passes through the origin, go on passes through the point(0,6) , The slope of the line is 4 , The Y intercept of the line is -6

Respuesta :

The slope of the line is 4
The Y intercept of the line is -6

Answer:

The slope of the line is 4.

The Y intercept of the line is -6.

Step-by-step explanation:

The slope intercept form of a line is

[tex]y=mx+b[/tex]           .... (1)

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

The given equation of line is

[tex]y=4x-6[/tex]             .... (2)

On comparing (1) and (2) we get

[tex]m=4[/tex]

[tex]b=-6[/tex]

It means the slope of the line is 4 , The Y intercept of the line is -6. the graph of a linear function is a straight line.

The value of y is -6 at x=0, so the line do not passes through the origin.

Therefore, the correct statements are "the slope of the line is 4  and the Y intercept of the line is -6".