Question 847549
standard form for a line is y = mx + b, where m is the slope and b is the y intercept
therefore our two lines are
y = -x +5
y = -2x/3 + 4
substitute for y in second equation with first
-x+5 = -2x/3 +4
multiply both sides of - by 3
-3x+15 = -2x+12
x = 3
y = 2
the intersection of both lines is (3,2)
the graphs look like this
{{{ graph( 300, 200, -10, 10, -10, 10, -x+5, -2x/3 + 4) }}}