Question 921567
given: {{{y=0.2x -0.8}}} 

Write an equation for the line {{{parallel}}} to that line that passes through {{{4}}} of the equation {{{y= -(1/3)x+4}}}

first find: passes through {{{4}}} of the equation {{{y= -(1/3)x+4}}}

as you can see, that point could be ({{{0}}},{{{4}}}) or y-intercept, since {{{b=4}}}


*[invoke equation_parallel_or_perpendicular "parallel", 0.2, -0.8, 0, 4]


now see all three lines:

given line: {{{y=0.2x -0.8}}}........red line

parallel line: {{{y=0.2x +4}}} ........green line

{{{0}}},{{{4}}} of the equation {{{y= -(1/3)x+4}}}........blue line


{{{drawing(600, 600, -15,15, -10, 15,circle(0,4,.25), graph(600, 600, -15,15, -10, 15, 0.2x -0.8, 0.2x +4,-(1/3)x+4)) }}}