The slope-intercept form:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
[tex]-x-2y=-10[/tex] add x to both sides
[tex]-2y=x-10[/tex] divide both sides by (-2)
[tex]y=-\dfrac{1}{2}x+5[/tex]
It's a linear function.
We need only two points to plotting a graph.
We choose any three values of x and calculate y.
[tex]\for\ x=0\to y=-\dfrac{1}{2}(0)+5=0+5=5\to(0,\ 5)\\\\for\ x=4\to y=-\dfrac{1}{2}(4)+5=-2+5=3\to(4,\ 3)\\\\for\ x=6\to y=-\dfrac{1}{2}(6)+5=-3+5=2\to(6,\ 2)[/tex]
