the x-intercept of a line is twice as great as its y-intercept. the sum of the two intercepts is 15. write the equation of the line in standard form

Question

the x intercept of a line is twice as great as its y intercept. the sum of the two intercepts is 15. write the equation of the line in standard form.

Answer 1

Let a = x-int

and b = y int

a+b= 5 and a=2b

So we want two numbers that sum to 10 and 1 is twice the other.

b=5/3 and a =10/3

This gives you two points

x-int at (10/3,0) and y-int at (0,5/3)

Now use the method of your choice to find the equation of the line containing those two points.