Question 215599
If a line passes through (5,2) and has slope 2/3, then what is the value of y on this line when x=8, x=11, and x=12.
:
Write an equation using the point/slope formula: y - y1 = m(x + x1)
assign the given values as follows:
x1 = 5; y1 =2; m = 2/3
:
y - 2 = {{{2/3}}}(x - 5)
:
y - 2 = {{{2/3}}}x - {{{2/3}}}*5 
:
y - 2 = {{{2/3}}}x - {{{10/3}}} 
:
y = {{{2/3}}}x - {{{10/3}}} + 2
:
y = {{{2/3}}}x - {{{10/3}}} + {{{6/3}}}
:
y = {{{2/3}}}x - {{{4/3}}} is the equation
:
x = 8
y = {{{2/3}}}(8) - {{{4/3}}}
y = {{{16/3}}} - {{{4/3}}}
y = {{{12/3}}}
y = 4
:
x = 11
y = {{{2/3}}}(11) - {{{4/3}}}
y = {{{22/3}}} - {{{4/3}}}
y = {{{18/3}}}
y = 6
:
You can do x = 12