Slope-Intercept Form – Practice Problems
Having fun while studying, practice your skills by solving these exercises!
- Video
- Practice Problems
To write linear equations, there are three forms: slope-intercept form, point-slope form and standard from. For this video, we will investigate the very popular slope-intercept form.
Equations written in this form follow this format: y = mx + b. The m-value represents the slope which is the rise over the run of the line – the steepness of the line. The b-value represents the y-intercept, the point where the line touches the y-axis, and the x-coordinate is equal to zero. You can learn a lot from an equation of a line written in slope-intercept form.
Let’s look at an example: y = -2x + 5. From this linear equation, I can tell the line is sloping down because the m-value is a negative number. The slope is somewhat steep because the larger the m-value the more steep the line. I can also tell the line touches the y-axis at the ordered pair ( 0, 5).
That’s a lot of information from an equation with only three terms. No wonder teachers often tell their students to write equations of the line in slope-intercept form. To learn more about this form, and some practical uses in the real world, take a look at this video.
Use slope to create equations of the line. CCSS.MATH.CONTENT.HSG.GPE.B.5
Describe the effects of changing $m$ or $b$. |
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