Question 184076
I don't know what the given lines of y1 = -2/7x-2 and y2= 5/3x + 17/3.
I don't know what the graph would look like, I don't have a graphing calculator, I can only use points with integer coordinates.
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We can choose which values for x we want to plot; let's use values that cancel
 the fraction and give integer values for x and y, if possible.
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On the 1st equation
y1 = {{{-2/7}}}x - 2
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find y1 when x = +7
y1 = {{{-2/7}}}(7) - 2
y1 = -2 - 2
y1 = -4
our 1st coordinate: 7,-4
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find y1 when x = -7
y1 = {{{-2/7}}}(-7) - 2
y1 = +2 - 2
y1 = 0
our 2nd coordinate: -7, 0
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plot/join these two points on graph paper +/-12 scale will work.
 should look like this
{{{ graph( 300, 200, -10, 10, -10, 10, (-2/7)x-2) }}}
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The 2nd equation:
y2 = {{{5/3}}}x + {{{17/3}}}
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find y2 when x = +3
y2 = {{{5/3}}}(3) + {{{17/3}}} 
y2 = 5 + {{{17/3}}}
y2 = {{{15/3}}} + {{{17/3}}}
y2 = {{{32/3}}}
y2 = 10{{{2/3}}}
our 1st coordinate: +3, 10{{{2/3}}}
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find y2 when x = -3
y2 = {{{5/3}}}(-3) + {{{17/3}}} 
y2 = -5 + {{{17/3}}}
y2 = {{{-15/3}}} + {{{17/3}}}
y2 = {{{2/3}}}
y2 = {{{2/3}}}
our 2st coordinate: -3, {{{2/3}}}
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plot/join these two points on the same graph paper.
 should look like this
{{{ graph( 300, 200, -10, 10, -10, 12, (-2/7)x-2, (5/3)x+(17/3)) }}} 
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The point of intersection x,y are not integers but we can't do anything about that.
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Did this make sense to you? Any questions?