Slope-Intercept Form – Practice Problems

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Do you need help? Watch the Video Lesson for this Practice Problem. Slope-Intercept Form

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

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Exercises in this Practice Problem
Describe the effects of changing $m$ or $b$.
Decide whether or not the Mars rover has enough battery power left to drive eight miles.
Determine the lines and corresponding equations.
Determine the equations which the describe the Mars rover's expedition.
Decide which equations are in slope-intercept form.
Determine the correct equation for the given points.