Home > Algebra > Slope-Intercept Form

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

Answer 1

Eva Adamson

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

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 form of x intercept is

# x = my + b #

For x, solve the equation.

# 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)#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Jace Anderson

Slope: -3 (coefficient of x) x-intercept: (7/3, 0) y-intercept: (0, 7)

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.