Question 292400
Pick and x and calculate the y.
y = -3x + 6
(0,6) is the y-intercept
(2,0) is the x-intercept
.
What do you get if x = 1?
y = -3(1) + 6 = -3+6 = 3, which defines the point (1,3)
.
What do you get if x = -1?
y = -3(-1) + 6 = 3+6 = 9, which defines the point (-1,9)
.
What do you get if x = 3?
y = -3(3) + 6 = -9+6 = -3, which defines the point (3,-3)
.
So you can define an infinite number of points that are on a line.
.
Check the graph to see...
{{{drawing(500,500,-10,10,-10,10,
grid(1),
graph(500,500,-10,10,-10,10,-3*x+6),
blue(circle(0,6,.15)),
blue(circle(2,0,.15)),
blue(circle(1,3,.15)),
blue(circle(-1,9,.15)),
blue(circle(3,-3,.15))  )
}}}
.