The question is asking you to rewrite the equation $2x + y = 8$ into slope-intercept form, which is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Let's solve the equation step-by-step:

Given Equation:

$2x + y = 8$

Step 1: Isolate $y$

Subtract $2x$ from both sides to get $y$ by itself: $y = -2x + 8$

Final Answer:

The equation in slope-intercept form is: $y = -2x + 8$

Here, the slope $m = -2$ and the y-intercept $b = 8$.

You can now input this into the DeltaMath platform as the correct answer.

Would you like further details on how this form is derived, or do you have any other questions?

Related Questions:

1. What is the geometric significance of the slope $m$ in the slope-intercept form?
2. How can you find the slope from a graph of a line?
3. What are the key differences between standard form and slope-intercept form of a line?
4. How do you determine the x-intercept from the equation $2x + y = 8$?
5. How does the slope change when parallel or perpendicular lines are involved?

Tip:

In slope-intercept form, the coefficient of $x$ (the slope) tells you the direction and steepness of the line—negative slopes go downwards from left to right, while positive slopes go upwards.