How to Solve for Slope in Algebra 1

The slope of a graphed line is the line's ratio of vertical rise to horizontal run.
••• Jupiterimages/Photos.com/Getty Images

In Algebra 1, slope refers a line's ratio of vertical rise to horizontal run. In other words, slope measures the steepness or incline of a line. Slope is used in graphing functions. In formulas, slope is "m." The domain of a line is represented by "x" and the range of a line is "y." It is important to know how to find the slope of a line because understanding slope is the foundation of later Algebra 1 lessons, such as slope-intercept form, standard slope form and point-slope form.

    Know the meaning of basic terms. Positive slope refers to a line that goes up from left to right on a graph. Negative slope refers to a line that goes down as you move left to right.

    Understand and memorize the definition, or formula, of slope. When given two points with coordinates, the formula for the slope of the line containing those two points is m = (y2 - y1) / (x2 - x1). The first given coordinate is (x1,y1) and the second given coordinate is (x2, y2).

    Evaluate the two given points and plug them into the slope formula. For example, if the given coordinates are K (2, 6) and N (4, 5), the formula will look like m = (5 - 6) / (4 - 2).

    Simply and calculate values in parenthesis. For example, (5 - 6) = -1 and (4 - 2) = 2.

    Plug the new values back into the slope formula. This value is the slope. For the example, it's -1/2. Therefore, the slope of the line equals -1/2 or 0.5.

    Evaluate the value of the line's slope and determine whether the line has a negative or positive slope. For example, a line with a slope of -1/2 has a negative slope. Thus, you can visualize the line on a graph moving down as it moves left to right.

    Practice solving for slope with other examples until you have fully grasped the concept of slope and its formula.

    Tips

    • The slope of a horizontal line is 0. The slope of a vertical line is undefined.

Related Articles

Advantages & Disadvantages of Using Math Tables
How to Convert Graphs to Equations
How to Convert Point Slope Form to Slope Intercept...
What is the Definition of Slope in Algebra?
How to Find an Equation Given a Table of Numbers
To Calculate Arcsine, What Buttons Do You Press on...
Algebra 1 Compared to Algebra 2
Ways to Make Parallel Lines & Perpendicular Lines
How to Find the X Intercept of a Function
How to Find Missing Coordinates With Slope
How to Find Perpendicular Slope
How to Find Equations of Tangent Lines
How to Find Slope With Two Coordinates
How to Calculate a Horizontal Tangent Line
How to Find the Slope & the Equation of the Tangent...
How to Solve a Parabola
How to Find the Slope of a Nonlinear Line
How to Calculate Slope Ratio
How to Calculate Percent Slope
Endpoint Math Formula

Dont Go!

We Have More Great Sciencing Articles!