Question

Charlie graphs the equation y= –12x+2y= –12x+2 . Select all statements about Charlie's graph that are true. The graph is a straight line. The line does not pass through the origin. The line passes through the point (0, –2)(0, –2) . The slope of the line is 1212 . The y-intercept of the line is 2.

Answer 1

y = -12x + 2

the graph is a straight line....TRUE
the line passes thru the points (0,-2)....FALSE
the slope of the line is -12...FALSE....the slope of the line is 12
the y int of the line is 2....TRUE

Answer 2

The correct options are 1, 2 and 5.

Explanation:

The slope intercept form of a line is

`y=mx+b` ..... (1)

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

Consider the given equation.

`y=-12x+2` .... (2)

It is a linear function and graph of a linear function is a straight line. Option 1 is correct.

At x=0,

`y=-12(0)+2=2`

The line does not pass through the origin. Option 2 is correct.

The line passes through the point (0, 2). Option 3 is incorrect.

On comparing (1) and (2) we get

`m=-12,b=2`

The slope of the line is -12. Option 4 is incorrect.

The y-intercept of the line is 2. Option 5 is correct.

Therefore, the correct options are 1, 2 and 5.