Question 786236
As x increases by 3 from one value to the next in the table, y increases by 6.
The ratio of increase in y to increase in x is {{{6/3=2/1=2}}} and is called the "slope" of the line. (It's a measure of the steepness of the y increase as x increases).
In between the numbers for x=-1 and x=2 in the table you could have:
for x=0 ---> y=2,
for x=1 ---> y=4
Those numbers (and the graph, see below) tell you that for x=0, when the graph crosses or "intercepts" the y-axis y=2. The point (0,2), and the y-value 2 at that point are called the y-intercept. WE ususlly just say the y value, because we know that x=0 for all ponts in the y-axis, so all y-intercepts have x=0.
{{{drawing(300,300,-10,10,-10,10,
grid(1),
line(-7,-12,5,12),
circle(-4,-6,0.3),circle(-1,0,0.3),
circle(2,6,0.3) )}}}