Question

Find the equation of the line. Use exact numbers.

y = ?x + ?

Answer 1

`-(3x)/(2)+3` or
`-(3)/(2)x+3`

Step-by-step explanation:

The reason for this is because:

First, find the slope. Start at x=0 and keep going right until you get the next whole number. Since the slope goes down 3, right 2, this means that the slope is -
`(3)/(2)`x.

Next is the y-intercept, where x=0. Since y is 3 from the origin when x=0, the constant/y-intercept is +3.

So, the equation of the line is
`-(3)/(2)x+3`.

Answer 2

equation:
`\sf y=-1.5x+3`

Step-by-step explanation:

given coordinates: (0,3), (2,0)

`\sf slope :(y-y_1)/(x-x_1)`

`\sf slope :(0-3)/(2-0)`

`\sf slope :(-3)/(2)`

`\sf slope :-1.5`

equation:

`\sf y=mx+b`

`\sf y=-1.5x+3`