Question

what are the x and y-intercepts of the line described by the equation? 2x + 4y = 12.4 enter your answers, in decimal form, in the boxes. x-intercept = \boxed{} y-intercept = \boxed{}

Explanation:

Step1: Find x-intercept, set $y=0$

Substitute $y=0$ into $2x + 4y = 12.4$:
$2x + 4(0) = 12.4$

Step2: Solve for $x$

$2x = 12.4$
$x = \frac{12.4}{2} = 6.2$

Step3: Find y-intercept, set $x=0$

Substitute $x=0$ into $2x + 4y = 12.4$:
$2(0) + 4y = 12.4$

Step4: Solve for $y$

$4y = 12.4$
$y = \frac{12.4}{4} = 3.1$

Answer:

x-intercept = 6.2
y-intercept = 3.1