# Write Slope-Intercept Form Given Slope And Y-Intercept Worksheet

## 6 problems

To write the slope-intercept form of a line, use the formula y = mx + b. Here "m" is the slope and "b" is the y-intercept. Just plug in the values of m and b into the formula to get the equation of the line. This format helps you easily see how the slope and y-intercept change the line's angle and position on a graph, giving a clear picture of straight-line relationships.

Algebra 1
Linear Relationship

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

• The more they practice this the better they get at algebra and understanding how numbers work together in equations.
• For example, to understand the trend of data, or predict using graphs.
• It allows students to learn how to read and interpret graphs which is a necessary skill for over tons of subjects and jobs.
• This demonstrates the impact of both the slope (m) and where on the y-axis th...
Show all

## Solved Example

Q. A line has a slope of $-\frac{1}{7}$ and a $y$-intercept of $-15$. Write its equation in slope-intercept form.$\newline$Write your answer using integers, proper fractions, and improper fractions in simplest form.
Solution:
1. Identify Form: Identify the slope-intercept form of a linear equation.$\newline$The slope-intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the $y$-intercept.
2. Insert Values: Insert the given slope and y-intercept into the slope-intercept form.$\newline$We are given the slope $m$ as $-\frac{1}{7}$ and the y-intercept $b$ as $-15$. Substituting these values into the slope-intercept form, we get $y = \left(-\frac{1}{7}\right)x + \left(-15\right)$.
3. Simplify Equation: Simplify the equation if necessary.$\newline$In this case, the equation $y = \frac{-1}{7}x - 15$ is already in its simplest form. There is no need for further simplification.

### What teachers are saying about BytelearnWhat teachers are saying

Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”