To rewrite the equation $7x + y = -3$ in slope-intercept form, which is $y = mx + b$ (where $m$ is the slope and $b$ is the y-intercept), follow these steps:

Step 1: Isolate $y$ on one side of the equation

Start with the given equation:

$7x + y = -3$

Subtract $7x$ from both sides:

$y = -7x - 3$

Step 2: Identify the slope and y-intercept

Now the equation is in slope-intercept form: $y = -7x - 3$.

• The slope $m = -7$
• The y-intercept $b = -3$

So, the slope-intercept form of the equation is:

$y = -7x - 3$

Would you like further details on how the slope-intercept form relates to graphing? Or do you have another question?

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Here are 5 related questions:

1. How do you find the slope of a line from an equation in standard form?
2. How do you graph an equation in slope-intercept form?
3. What does the slope of a line represent in real-life situations?
4. How do you convert an equation from point-slope form to slope-intercept form?
5. What is the significance of the y-intercept in an equation?

Tip: When converting to slope-intercept form, always isolate $y$ to easily identify the slope and y-intercept.