Question

What are the x and y-intercepts of the line described by the equation?

2x+4y=12.4
Question 2 options:

x-intercept = -6.2

y-intercept = -3.1


x-intercept = -3.1

y-intercept = -6.2


x-intercept = 6.2

y-intercept = 3.1


x-intercept = 3.1

y-intercept = 6.2



Please help

Answer 1

x-intercept = 6.2 , y-intercept = 3.1

Explanation:

First turn 2x + 4y = 12.4 to slope-intercept form (y = mx + b) where m is slope and b is y-intercept.

Subtract 2x on both sides to move it to the other side, and get 4y by its self. Now it looks like 4y = -2x + 12.4 (since 2x and 12.4 aren't like terms, you wouldn't combine them).

Next, divide 4 on both side to get rid of it, and to get y by its self. Now you'll have

y = -2/4 x + 3.1 (since 12.4 can be divided by 4, that's how you get 3.1). You can already tell, just by looking at

y = -2/4 x + 3.1 , that the y-intercept is 3.1

Now we graph, to find out what the x-intercept is. I did it for you above.⤴⤴⤴