Question

Charlie graphs the equation y= – 1 2 x+2 y= –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 1 2 12 . The y-intercept of the line is 2.

Answer 1

The graph is a straight line.

The line does not pass through the origin.

The y-intercept of the line is 2.

Explanation:

Given equation,

`y=-(1)/(2)x+2`

Since, the function in the form of y = mx + c represents a straight line, Where m = slope of the line,

Thus,
`y=-(1)/(2)x+2` is the straight line,

Its slope is
`-(1)/(2)`

Also, for (0, 0),

`0=-(1)/(2)(0) + 2` ( False )

i.e. the line does not pass through the origin.

For y-intercept,

x = 0,

`\implies y = -(1)/(2)(0) + 2\implies y = 2`

i.e. y-intercept of the line is 2.

Answer 2

y = -12x + 2

The graph is a straight line....true, it is linear
The line does not pass thru the origin (0,0).....true, it does not
The line passes thru the point (0,-2)...false, it does not
The y int of the line is 2......true, it is