Question

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

Answer 1

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

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=(y_2-y_1)/(x_2-x_1)=(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!