Question

The graph of linear fiction passes through the point (2,11) and (6,21) write equation for the function

Answer 1

Answer:

Slope intercept form of a linear equation:  y = mx + b

(where m is the slope and b is the y-intercept)

$\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}$

(where $\mathsf{(x_1,y_1)}$ and $\mathsf{(x_2,y_2)}$ are points on the line)

Given:

• $\mathsf{(x_1,y_1)=(2,11)}$
• $\mathsf{(x_2,y_2)=(6,21)}$

$\mathsf{slope=\dfrac{21-11}{6-2}=2.5}$

$y=mx+b$

$11=2.5\times 2+b$

$b=6$

$y=2.5x+6$