Question 118013
First convert 5x+3y=9 into slope-intercept form


*[invoke converting_linear_equations "standard_to_slope-intercept", 5, 3, 9, 1,2]


Now let's find the equation of the line through (3,4) that is parallel to the line {{{y=(-5/3)x+3}}}


*[invoke equation_parallel_or_perpendicular "parallel", "-5/3", 3, 3,4]



Now let's convert {{{y=(-5/3)x+9}}} to standard form


*[invoke converting_linear_equations "slope-intercept_to_standard", 1, 2, 3, "-5/3", 9]



So the answer is {{{5x+3y=27}}}