I need help please

Question

Find and equation for the line parallel to y=5x-7 with y intercept (0,4) write the answer in slope intercept form. I am confused I thought this was y=mx+b which is the first formula I don't understand were the y intercept comes in

Answer 1

This one is easiest to understand by graphing I think. Slope intercept form is y=mx+b. To find this equation, we need two pieces of information... "m" (the slope) and "b" (the y-intercept). Now, we know that parallel lines have the same slope. Therefore, a line parallel to y=5x-7 must also have a slope of 5. That gives us our "m". If we plot the point (0,4), we realize that this point is ON the y-axis meaning that this point IS the y-intercept or "b". With a coordinate of (0,4), the y-intercept of the new line must be 4, the y-component of this point. Plugging a value of 4 in for "b" in the slope-intercept formula, this gives us an equation of y=5x+4.

Answer 2

Hi Cynthia,

 

Let's put it this way.  Parallel means 2 or more lines that are going exactly same direction without touching or meeting each other.  In Algebra, it means 2 lines are going exact same direction with exactly same slope.  The only difference is they (2 lines) will have different y-intercept (b) where x = 0.

 

This one has slope of 5.  So, start with y= 5x.  Y-intercept is find when x = 0 and it is already given in the problem: (0,4).  To write an equation as slope-intercept form for this parallel line, you will get y= 5x+4.

 

Good luck.