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Identify the Slope and Intercept of a Line in Slope-Intercept Form
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This is an introduction to drawing lines when given the slope and the y-intercept in an equation form. Remember that the y-intercept is where the graph crosses the y-axis; this is where we usually start. First, find the y-intercept, then determine the slope. For now, just focus on whether the slope is positive or negative.

Here are the variables we will start using in our function:

• $$m = slope$$
• $$b = y-intercept$$

The equation is y = mx + b. The x and y variables remain as letters, but m and b are replaced by numbers (ex: $$y = 2x + 4$$, $$slope = 2$$ and $$y-intercept = 4$$ ). The following video will show a few examples of understanding how to use the slope and intercept from an equation.

Identify the Slope and y-Intercept of an Equation Written in Slope-Intercept Form

$$y = mx + b$$

This equation is called the slope-intercept form because the two numbers in the equation are the slope and the intercept. Remember, the slope (m) is the number being multiplied to x and the intercept (b) is the number being added or subtracted.

### Practice Problems

1. Find the slope of the line:
$$\text{y}=6\text{x}+2$$ (
Solution
Solution: 6
Details:
The equation of the line is written in the slope-intercept form, which is: $$y = {\color{Red}m}x + b$$, where $${\color{Red}m}$$ represents the $${\color{Red}slope}$$ and b represents the y-intercept. In our equation, $$y = {\color{Red}6}x + 2$$, we see that the slope of the line is $${\color{Red}6}$$.
)
2. Find the y-intercept of the line:
$${\text{y}}=-7{\text{x}}+4$$ (
Solution
Solution: 4
Details:
The equation of the line is written in the slope-intercept form, which is: $$y = mx + {\color{Red}b}$$, where m represents the slope and $${\color{Red}b}$$ represents the $${\color{Red}y-intercept}$$. In our equation, $$y=-7x+{\color{Red}4}$$, we see that the $${\color{Red}y-intercept}$$ of the line is $${\color{Red}4}$$.
)
3. Find the slope of the line:
$${\text{y}}=-3{\text{x}}+5$$ (
Solution
Solution: $$-3$$
Details:
The equation of the line is written in the slope-intercept form, which is: $$y = {\color{Red}m}x + b$$, where $${\color{Red}m}$$ represents the $${\color{Red}slope}$$ and b represents the y-intercept. In our equation, $$y={\color{Red}-3}x+5$$, we see that the slope of the line is $${\color{Red}-3}$$.
)
4. Find the y-intercept of the line:
$${\text{y}}=-{\text{x}}-3$$ (
Solution
Solution:
$$-3$$
)

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