Question #6e7f2

1 Answer
Dec 18, 2017

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.

Kate's Math LessonsKate's Math Lessons

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!