Understanding Slope-Intercept Form

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



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