A line passes through the points (4,17) and (7,20). Write a linear function rule in terms of x and y for this line.
The linear function rule is y=?

A line passes through the points (4,17) and (7,20).

The linear function rule is y= 1x+13

Given :

A line passes through the points (4,17) and (7,20).

The linear function is y=mx+b where m is the slope

lets find out slope using formula

Slope of the line using the given points is 1

Lets pick any one point (4,17) and use slope to find function rule y

y=mx+b

x is 4  and y is 17  and m=1

Replace the value of 'b' and write the equation

The linear function rule is y= 1x+13

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The linear function rule is

Step-by-step explanation:

A line passes through the points (4,17) and (7,20). Write a linear function rule in terms of x and y

for this line.

The function rule is of form: y=mx+b

Where m is slope and b is y-intercept

Finding slope using formula:

We have

Putting values and finding slope

Finding y-intercept b

Using the point (4,17) to find y-intercept b

So, the linear function rule is:

The linear function rule is