Question 279718
I would convert it to the slope-intercept form first
{{{y = mx + b}}}
{{{m}}} is the slope of the line
{{{b}}} is the y-intercept, which is the point (0,y)
{{{15x + 5y = 10}}}
Subtract {{{15x}}} from both sides
{{{5y = -15x + 10}}}
Divide both sides by {{{5}}}
{{{y = -3x + 2}}}
Now you can see that {{{m= -3}}}
and {{{b = 2}}}
From the y-intercept, you have the point (0,2)
Here's how to find the x-intercept, (x,0)
{{{0 = -3x + 2}}}
Add {{{3x}}} to both sides
{{{3x = 2}}}
{{{x = 2/3}}}
The x-intercept is (2/3,0)
Here's the plot showing points (0,2) and (2/3,0)
{{{ graph( 500, 500, -5, 5, -5, 5, -3x + 2) }}}