Ecuation and x,y intercepts5x-15y=120
3 Answers
justaguide | College Teacher | (Level 2) Distinguished Educator
To find the x and y intercepts simply substitute y = 0 and x = 0 resp. Then calculate the value of the variable that is left.
Let's find the y intercept, x = 0
5x - 15y = 120
=> -15y = 120
=> y = 120/-15
=> y = -8
To find the x intercept, y = 0
5x - 15y = 120
=> 5x = 120
=> x = 120/5
=> x = 24
Therefore the x-intercept is (24 , 0) and the y-intercept is (0, -8).
pohnpei397 | College Teacher | (Level 3) Distinguished Educator
The y intercept is the value of y when x = 0.
When x = 0, the equation looks like this
-15y = 120
Divide both sides by -15 and you get
y = -8 -- that's the y intercept.
The x intercept is the value of x when y = 0
5x = 120
x = 24
giorgiana1976 | College Teacher | (Level 3) Valedictorian
To find x intercept, we'll put y = 0 and we'll solve for x:
f(x) = y = 0
We'll divide by 5:
5x-15y=120
x - 3y = 24
We'll isolate 3y to the left side:
-3y = -x + 24
We'll divide by -3:
y = x/3 - 8
For y = 0 => x/3 - 8 = 0
x - 24 = 0
x = 24
The line 5x-15y=120 is intercepting x axis in the point (24 ; 0).
We'll determine y intercept and we'll put x = 0
5*0 - 15y=120
-15y=120
y = -120/15
y = -8
The line 5x-15y=120 is intercepting y axis in the point (0 ; -8).