Question 697035
 Find the x and y intercept of the line through point P(-3,2) which is parallel to the line 4x-5y = 17 
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Parallel lines have the same slope, put the equation in the slope/intercept form
4x - 5y = 17
subtract 4x from both sides
-5x = -4x + 17
y has to be positive, multiply both sides by -1
5y = 4x - 17
y has to have a coefficient of 1, divide both sides by 5
y = {{{4/5}}}x - {{{17/5}}}
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Now we know the slope = 4/5
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Use the point slope equation to find the equation of the parallel line
y - y1 = m(x - x1), where:
x1 = -3, y1 = 2, m = 4/5
y - 2 = {{{4/5}}}(x -(-3))
y - 2 = {{{4/5}}}x + {{{12/5}}}
y - 2 = {{{4/5}}}x + 2.4
y = {{{4/5}}}x + 2.4 + 2
y = {{{4/5}}}x + 4.4, is the equation of the parallel line passing thru -3,2
:
Confirm this, replace x with -3 and solve for y, should = 2