Question

A line passes through the points (5,20) and ( 7 , 22). Write a linear function rule in terms of x and y for this line.

Answer 1

Answer:

y = x + 15

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - point

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (5, 20) and (7, 22). Substitute:

$m=\dfrac{22-20}{7-5}=\dfrac{2}{2}=1$

$y-20=1(x-5)$

$y-20=x-5$         add 20 to both sides

$y=x+15$