Question

Question #6e7f2

Answer 1

The slope is `-2` and the graph is in the explanation

Explanation:

**STEP ONE: ** Reorganize the problem so `y` is on the left side

STEP ONE A: Subtract `10x` from each side

`10x+5y=350`

`5y = -10x + 350`

**STEP ONE B: ** Divide each side by `5`

`5y = -10x + 350`

`y=-2x+70`

STEP TWO: Remember that when an equation is in slope-intercept form (the form `y=-2x+70` is in right now), the slope is always going to be the `m`.

In this case, the `m` in the equation is`-2`, therefore the slope is `-2`.

**STEP THREE: ** To graph this equation, pick two easy numbers to substitute into the `x`

I am going to choose `0` and `1` to substitute in for `x`.

STEP THREE A: Substituting in `0`

`y=-2x+70`

`y=-2(0)+70`

`y=(0)+70`

`y=70`

**COORDINATE ONE: ** `(0,70)`

**STEP THREE B: ** Substituting in `1`

`y=-2x+70`

`y=-2(1)+70`

`y=-2+70`

`y=68`

COORDINATE TWO: `(1,68)`

**STEP FOUR: ** Graph the points on the grid

graph{y=-2x+70 [-37.1, 148.65, -11.95, 80.95]}

Hope that helped!