Write the equation of the line in slope intercept form given a table​

y=3x+1

Step-by-step 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! :)

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