Question

what is the slope - intercept form of the linear equation 4x + 2y = 24? drag and drop the appropriate number, symbol, or variable to each box.

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is $y=mx + b$, where $m$ is the slope and $b$ is the y - intercept. We need to transform the given equation $4x + 2y=24$ into this form. First, we isolate the $y$ term. Subtract $4x$ from both sides of the equation:
$2y=- 4x + 24$

Step2: Solve for y

Divide each term in the equation $2y=-4x + 24$ by 2 to solve for $y$:
$y=\frac{-4x}{2}+\frac{24}{2}$
Simplify the fractions:
$y=- 2x+12$

Answer:

The slope - intercept form of the equation $4x + 2y = 24$ is $y=-2x + 12$. So when filling the boxes (assuming the form is $y\square mx\square b$), we have $y=-2x + 12$. The first box (for the coefficient of $x$) is $-2$, the operation between $mx$ and $b$ is $+$, and the constant term $b$ is $12$, with $y$ and $x$ as the variables.