Question

Question #fc03e

Answer 1

`y=3/2x-3`

Standard form: move x and y to the same side, including any coefficients to the variables
`y-3/2x=-3`
`y-3/2x+3=0`
For the table of values, plug in x values into the given equation or look at the graph below
graph{3/2x-3 [-10, 10, -5, 5]}

For the second problem, look at the graph and find the slope, which is rise over run, or `(Delta y)/(Delta x)`.
graph{3/4x+3}
The graph has a slope of `3/4`, and the y intercept is at `(0,3)`. The slope intercept form of the graph is:
`y=3/4x+3`

Standard Form:
`y-3/4x=3`
`y-3/4x-3=0`

For the third problem, given the table of values, we can determine that the slope is `-1/3` because `"every 1 unit that "x" decreases, "y" decreases by "1/3`.
The `y` intercept is `-1` because there is a given point `(0,-1)`.

Slope intercept form:
`y=-1/3x-1`
Standard form:
`y+1/3x=-1`
`y+1/3x+1=0`
graph{y=-1/3x-1}