What is the slope, x-intercept, and y-intercept of the graph of #3x+y=7#?

1 Answer

Answer:

The slope m = -3
The y intercept = 7
The x intercept = # 7/3#

Explanation:

The y intercept form is
# y = mx + b #

Changing the equation
# 3x + y = 7 # to get the y intercept form add #-3x# to both sides

# 3x + (-3x) + y = -3x + 7 # which gives the y intercept form

# y = -3x + 7#

#m =# the slope ( think mountain ski slope)#m = -3 #
#b =# the y intercept ( thing beginning) #b= 7 or ( 0,7)#

The x intercept form is

# x = my + b #

Solve the equation for x

# 3x + y = 7" " # subtract y from both sides

# 3x + y -y = -y + 7" " # This gives

# 3x = -y + 7" " # divide both sides by 3

# (3x)/3 = (-y)/3 + 7/3 # The result is

# x = -1/3 xx y + 7/3#

The #x#-intercept is # 7/3 or ( 7/3, 0)#