Question

Question #7ebee

Answer 1

The equation would be `y=-7/6x+7/2` . graph{-7/6x+7/2 [-10, 10, -5, 5]}

Explanation:

The expectation is to use these two points to create and equation in Slope-Intercept form:

`y=mx+b`

The Slope of a line can be determined by the equation:

`m=(y_2-y_1)/(x_2-x_1)`

In this case, you would use the ordered pair of your `y`-intercept as `(x_1,y_1)`, and the ordered pair of your `x`-intercept as `(x_2,y_2)` in the above formula to find the slope.

`m=(0-7/2)/(3-0)=(-7/2)/3=-7/2/6/2rarr-7/2*2/6=-14/12`
`darr`
`m=-7/6`

Then knowing the `y`-intercept, `(b)`, you can make the equation: `y=-7/6x+7/2`