Question 476529
{{{3x - 6y = -21}}}
Easiest way to find intercepts is to set one variable equal to zero.
An intercept means point on the axis therefore either x or y must be zero.
For x-intercept, y=0.
For y-intercept, x =0.
Let y = 0. Solve for x.
{{{3x - 6(0) = -21}}}
{{{3x - 0 = -21}}}
{{{3x = -21}}}
{{{x = -7}}}
The x-intercept is the point (-7,0). x= -7, y = 0
Let x = 0. Solve for y.
{{{3(0) - 6y = -21}}}
{{{0 - 6y = -21}}}
{{{-6y = -21}}}
{{{y = (-21)/-6 = 7/2 = 3.5}}}
The y-intercept is the point (0,3.5). x= 0, y = 3.5
Now plot these 2 points and then draw a straight line through both points.
This line represents all possible points that satisfy the equation {{{3x - 6y = -21}}}
here is what your graph should look like:
{{{graph(200,200,-10,6,-2,6,0.5x+3.5)}}}