Question

9. write an equation of the line that passes through the points (3,7) and (5,11)

Answer 1

Answer:

$y=2x+1$  is the required equation of line.

Step-by-step explanation:

To find the equation of line  $y=mx+b$  through (3, 7) and (5, 11) we first need to find the slope of line and then y-intercept.

$\mathrm{Slope=m=\frac{y_2-y_1}{x_2-x_1}=\frac{11-7}{5-3}=2}$

Use one point and slope to find the y-intercept.

$7=2\left(3\right)+b\:\quad \Rightarrow \quad \:b=1$

$y=2x+1$

Best Regards!