Hi Lily,
y = mx + b where m = slope, b = y-intercept AKA "the y-coordinate when x = 0"
Table shows us that when x = 0, y =6. Therefore, y-intercept = 6.
To find m, let me show you 2 options:
option 1: notice then every time the x-coordinates in the table increase by 1, the y-coordinates increase by 10. That means slope = 10/1 = 10
option 2: use slope formula: slope = rise/run = (y2 - y1)/(x2 - x1)
Choose any two (x,y) ordered pairs from table. I'll choose (1,16) and (3,36)
m = (36-16)/(3-1) = 20/2 = 10. Both options show same answer for slope.
Now plug both m and b into the mx + b formula and you get:
y = 10x + 6
