SOLUTION: Miguel needs to plot a line for a design he was working on in his CAD class. The x intercept had to be double the y intercept. What graph could satisfy the requirements of his proj

Algebra ->  Graphs -> SOLUTION: Miguel needs to plot a line for a design he was working on in his CAD class. The x intercept had to be double the y intercept. What graph could satisfy the requirements of his proj      Log On


   



Question 1010166: Miguel needs to plot a line for a design he was working on in his CAD class. The x intercept had to be double the y intercept. What graph could satisfy the requirements of his project?

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
let the y intercept be (0, 2) and x intercept be (4,0), then
we have two points on the line which will determine the slope of the line
slope = (0 - 2) / (4 - 0) = -1/2, our equation is
*************************************************
y = -x/2 + 2
*************************************************
check our equation
if x = 0 then y = 2 which is our y axis intercept (0,2)
now solve our equation for x
start by multiplying both sides of = by 2
2y = -x + 4
add x to both sides of =
x + 2y = 4
subtract 2y from both sides of =
x = -2y + 4
if y = 0 then x = 4 which is our x axis intercept (4, 0)