The equation you provided is:

$4x + y = 7$

To rewrite this in slope-intercept form, we need to solve for $y$ in terms of $x$. The slope-intercept form is:

$y = mx + b$

where:

• $m$ is the slope, and
• $b$ is the y-intercept.

Steps:

1. Start with the given equation: $4x + y = 7$
2. Subtract $4x$ from both sides to isolate $y$: $y = -4x + 7$

Now, the equation is in slope-intercept form: $y = -4x + 7$

This tells us:

• The slope ($m$) is $-4$.
• The y-intercept ($b$) is $7$.

Would you like to go over more steps or explore this further?

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Here are 5 related questions:

1. How do you graph the equation $y = -4x + 7$?
2. How can you identify the slope and y-intercept from an equation?
3. What does the slope $m = -4$ represent in real-world contexts?
4. How can you write the equation of a line given a point and a slope?
5. How do you find the equation of a line when you're given two points?

Tip: The slope-intercept form is very useful for quickly identifying the slope and y-intercept of a line, making graphing much easier!