Question

find the equation of the line that has a gradient of 3 and goes through (1,1)

Answer 1

The equation of the line is

$$y=mx+b$$

Given $slope=m=3.$

Then

$$y=3x+b$$

The line goes through $(1,1)$

$$1=3(1)+b=>b=-2$$

 The equation of the line that has a gradient of 3 and goes through (1,1) is

$$y=3x-2$$