posted by Mathew .
A line is parallel to 5x+2y-8=0 and has the same y-intercept as x+4y-12=0
Find an equation for the line.
first make each into y=mx+b by rearranging
because the line is parallel to the first equation it will have the same value for the slope (m)
now use the second equation to solve for the value of y at the y intercept (i.e. we know x is zero, solve y)
so the y intercept of our new equation is (x,y)=(0,3)
put this into our new equation to solve for b
so our new equation is