The equation of the line with slope m 2 and yintercept 0 3

The equation of the line with slope m = 2 and y-intercept (0, –3) is
2x – y = –3.

Solution

general equation of line with slope m is y=mx+c

given slope m = 2 and y-intercept (0, –3)

=> y=2x+c passes through (0,-3)

=>-3 =2(0)+c

=>-3 =c

=>c =-3

y=2x-3 is the equation of the line with slope m = 2 and y-intercept (0, –3)