Question

What are the x and y intercepts of the line described by the equation ? 2x + 4y = 12.4​

Answer 1

x-intercept: x=6.2

y-intercept: y=3.1

Explanation:

• The x intercept graphically speaking is found when the function intersects with the x-axis, which happens when y=0.
• Then, to obtain the x intercept, we have to make y=0 in our equation, and clear the value of x, which would be our x-intercept. If we make y=0, we get
  `2x=12.4`⇒
  `x=6.2`. Then iwe get x=6.2., which is our x-intercept.
• Analogously, the y intercept is seen graphically as the value of y when x=0, which is the value of the function that intercesects the y-axis. This happens when x=0. Then, to find the y intercept, we have to make x=0 in our equation, and clear the resulting value of y, as follows:
  `4y=12.4`⇒
  `y=3.1` , y=3.1, which is our y intercept.
• Graphically, you will see the intercepts we have just calculated by doing x=0 or y=0. (See picture attached)