What are the intercepts of :
#5y= 7x - 19#?

Question

Kennedy Adams · Accepted Answer

#x# intercept #= 19/7, y # intercept #= -19/5#

To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'.

To find the y-intercept, plug 0 in for 'x' and solve for 'y'.

Given equation is #5y = 7x - 19#

To find x intercept : when y = 0,

#7x - 19 = (5*0) = 0#

#7x = 19# or #x = 19/7#

To find y intercept : when x = 0,

#(7*0) - 19 = 5y#

#5y = -19# or #y = -19/5#

#color(purple)(y = (7x-19) / 5# graph{(7x - 19) / 5 [-10, 10, -5, 5]}

Savannah Anderson · Answer

The x-intercept is #(19/7,0)# or #~~(2.714,0)#.

The y-intercept is #(0,-19/5)# or #(0,-3.8)#.

Given: #5y=7x-19# Solve for #y# to get the equation into slope-intercept form: #y=mx+b,# where: #m# is the slope, and #b# is the y-intercept. #5y=7x-19# Divide both sides by #5#. #y=(7x)/5-19/5# The y-intercept is the value of #y# when #x=0#. The y-intercept is #(0,-19/5)# or #(0,-3.8)# The x-intercept is the value of #x# when #y=0#. Substitute #0# for #y# and solve for #x#. #0=(7x)/5-19/5# Multiply both sides by #5#. #5xx0=7x-19# Simplify. #0=7x-19# Add #19# to both sides. #19=7x# Divide both sides by #7#. #19/7=x# The x-intercept is #(19/7,0)~~(2.714,0)# graph{y=7/5x-19/5 [-10, 10, -5, 5]}

Eli Assouline · Answer

#x = 19/7#

#y = -19/5# To find the #x#-intercept, we set #y# equal to #0# and solve: #5 xx 0 = 7 xx x - 19# #19 = 7x# #x = 19/7# Now we solve for when #x = 0# to get the #y#-intercept: #5 y = 7 xx 0 - 19# #5 y = -19# #y = -19/5# To check our work, let''s graph the equation and make sure our intercepts are correct graph{5y = 7x-19} Yep, we were right!

Abigail Allen · Answer

undefined To find the intercepts of the equation 5y = 7x - 19:

1. To find the y-intercept, set x = 0 and solve for y:
   5y = 7(0) - 19
   5y = -19
   y = -19/5
   y-intercept is (0, -19/5).

2. To find the x-intercept, set y = 0 and solve for x:
   5(0) = 7x - 19
   0 = 7x - 19
   7x = 19
   x = 19/7
   x-intercept is (19/7, 0).

What are the intercepts of : #5y= 7x - 19#?