The slope-intercept form:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the slope m = 4. Substitute:
[tex]y=4x+b[/tex]
Put the coordinates of the point (2, -3) to the equation of a line:
[tex]-3=4(2)+b[/tex]
[tex]-3=8+b[/tex] subtract 8 from both sides
[tex]-11=b\to b=-11[/tex]
Answer: y = 4x - 11
