Find the equation of a line

Question

Parallel to the line y = 3x+5 and has a y-intercept of -1 

Answer 1

You will remember that the slope-intercept form for lines is in the form    y = mx + b     In this equation m represents the slope of the line which is the change in y/the change in x        b represents the y-intercept or place where our line crosses/intersects the y-axis.    If you have trouble remembering the last piece, just make x to be 0.    Any/all number(s) muliplied by 0 produce 0     Add b to 0 and there is the y-intercept, since we have made x to be 0.    

 

We want our new line to be parallel to the line with the equation y = 3x + 5, and with a y-intercept of -1.    So our new equation will be y = 3x - 1  (you can also write it as y = 3x + -1).   Both our original equation  and our new equation is in slope-intercept form already (y = mx + b).  This new line is parallel because it has the same slope of 3 (or 3/1).

Answer 2

y = mx + b

 

Since it is parallel, 

 

m = 3.

 

b = -1 (given)

 

y = 3x - 1