# Write Slope-Intercept Form Given Equation Worksheet

## 6 problems

To write the slope-intercept from given equation, rearrange the equation so that $$y$$ is isolated before writing it in slope-intercept form ($$y = mx + b$$). In this case, the constant term $$b$$ represents the y-intercept, and $$m$$ is the slope (coefficient of $$x$$). This style makes charting and interpreting the behavior of the line easier.

Important points are:

• $$b$$: y-intercept
• $$m$$: slope.
Algebra 1
Linear Relationship

## How Will This Worksheet on "Write Slope-Intercept Form Given Equation" Benefit Your Student's Learning?

• Practice isolating variables and rearranging equations.
• Learn about slopes and y-intercepts.
• Enhance critical thinking with multi-step problems.
• Easily graph lines using slope and intercept.
• Build a foundation for calculus and linear algebra.
• Regular practice increases confidence and competen...
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## Solved Example

Q. Rewrite the following equation in slope-intercept form.$\newline$$y + 4 = 7(x - 3)$
Solution:
1. Identify slope-intercept form: Slope-intercept form: $y = mx + b$
2. Given equation: Start with the given equation. $y + 4 = 7(x - 3)$
3. Distribute $7$ to $x$ and $-3$: Distribute $7$ to $x$ and $-3$.$\newline$$y + 4 = 7(x) - 7(3)$$\newline$$y + 4 = 7x - 21$
4. Subtract $4$ to isolate y: Subtract $4$ from both sides to isolate $y$.$\newline$$y + 4 - 4 = 7x - 21 - 4$$\newline$$y = 7x - 25$

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