Question 199137
7x-5y=1
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solve for x
Add 5y to both sides
7x = 5y + 1
Divide both sides by 7
x = {{{5/7}}}y + {{{1/7}}}
:
solve for y
subtract 7x from both sides
-5y = -7x + 1
Multiply both sides by -1 to get a positive y
5y = 7x - 1
Divide both sides by 5
y = {{{7/5}}}x - {{{1/5}}}
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and find the intercept for x&y
x intercept occurs when y = 0
x = {{{5/7}}}(0) + {{{1/7}}}
x = 0 + {{{1/7}}}
x intercept = {{{1/7}}}
:
Y intercept occurs when x = 0
y = {{{7/5}}}(0) - {{{1/5}}}
y intercept ={{{-1/5}}}
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and the slope
use the slope intercept form which is: y = mx + b:
 y = {{{7/5}}}x - {{{1/5}}}
m = {{{7/5}}} is the slope
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a graphical illustration will help it make sense to you
{{{ graph( 300, 200, -4, 4, -2, 2, (7/5)x-.2) }}}
Note the graph intercepts the x axis at 1/7 and intercepts the y axis at -1/5