Question

Find the equation of the line with slope 23 and y-intercept (0,2).

Answer 1

We have the next form of the equation of the line that is the slope-

$y=mx+b$

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

in our case

m=23

the y-intercept is the value of the y-coordinate when the x coordinate is 0 therefore

b=2

then we substitute the values

$y=23x+2$