## Algebra 1 Tutorial

*Understanding Slope-Intercept Form*

#### Intro

In this problem, we will determine the slope and y-intercept of line AB. We will put those two values in slope-intercept form: y=mx+b

#### Sample Problem

What is the slope-intercept form of a line, AB, with a slope of 5 that crosses the y-axis at (0,-8)?

#### Solution

**Step One:** *Understanding the Question*

The question asks us to find slope-intercept form of a line with a slope of 5 that crosses the y-axis at (0,-8).

From this, we must separate the slope and the y-intercept to put the problem into slope-intercept form.

The problem states that the slope is 5, so the slope is equal to 5.

The problem states that line AB crosses through (0,-8). Anytime a line crosses over the y-axis, the point through which it crosses is known as the line’s y-intercept. So, if line AB crosses through the y-axis at y=-8, then our y-intercept is -8.

**Step Two:** *Understanding Slope-Intercept Form*

The equation for slope-intercept form is y=mx+b.

“m”=Slope

“b”=Y-Intercept

**Step Three:** *Filling in Values*

As shown in Step Two, slope-intercept form is y=mx+b. To put the values found in Step One into the equation, simply substitute the values for their respective variables.

y=mx+b: Slope-Intercept Form

y=5x+b: Fill in the slope, 5, for “m”

y=5x+(-8): Fill in the y-intercept, -8, for “b”

y=5x-8: Simplify

Finished

# About The Author

K-12 Tutor |

I am a dual enrollment student through Northview High School in Century, Florida and Pensacola State College. I am currently top in my class with a GPA of 4.425. In 2018, I will graduate with my A.A. in General Education from PSC as well as recieving my high school diploma with merit designation. ... |