Question 69152
The slope-intercept form is:
{{{y = mx+b}}} Substituting {{{m = -(3/5)}}}, you get:
{{{y = -(3/5)x + b}}} To find the value of b, substitute the x- and y-coordinates of the given point and solve for b.
{{{5 = -(3/5)(0)+b}}} Simplify.
{{{5 = b}}}
The final equation in slope-intercept form is:
{{{y = -(3/5)x+5}}} Convert this to standard form: {{{ax+by = c}}}
{{{y = -(3/5)x+5}}} Multiply through by -5.
{{{-5y = 3x-25}}} Add 5y to both sides.
{{{0 = 3x+5y-25}}} Finally, add 25 to both sides.
{{{3x+5y = 25}}}