Question

Which graph represents a lina with a slope of -2/3 and a y-intercept equal to that line of y=2/3x-2

Answer 1

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

`y = mx + b`

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We must graph the following equation of the line:

`y = \frac {2} {3} x-2`

The line cuts at the point
`(x, y) :( 0, -2)`

The slope is positive.

For
`x = 0` then
`y = -2`

For
`x = 1`then
`y = - \frac {4} {3}`

We locate the points on the coordinate axis and draw the line.

Answer:

See attached image