Answer:
y=3x+1
Explanation:
Slope-intercept form is y=mx+b, where m is the slope and b is the y intercept
the formula for slope (m) is given as (y2-y1)/(x2-x1)
we can pick any 2 points to use to find the slope. For example, let's use (2,7) and (3,10)
label the points:
x1=2
y1=7
x2=3
y2=10
now substitute into the formula:
m=(y2-y1)/(x2-x1)
m=(10-7)/(3-2)
m=3/1
m=3
the slope of the line is 3
here's our equation so far:
y=3x+b
now we need to find b (y intercept)
because the line will pass through any of the points given on the table, we can use any one of the given points to solve for b
Let's take (2,7) though since it's the first point
substitute 2 as x and 7 as y in the equation
7=3(2)+b
7=6+b
1=b
so our equation is y=3x+1
Hope this helps! :)