Question

Which of the following could be the graph of the line y=3x-2

Answer 1

The graph in the attached figure

Explanation:

we have

`y=3x-2`

Plot the line

To plot the line find the intercepts

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

`y=3(0)-2=-2`

The y-intercept is the point (0,-2)

The x-intercept is the value of x when the value of y is equal to zero

so

For y=0

`0=3x-2`

`x=2/3=0.667`

The x-intercept is the point (0.667,0)

Plot the intercepts and then draw the line