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 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!