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Unit 4: Writing and Graphing Equations

Writing Equations of Lines

Book Practice: Pg. 179 #3-18, 25-28 and Pg. 185 #3-20, 31, 32 **Make sure that each equation is written in Slope-Intercept Form regardless of the instructions.
Khan Academy: I would complete each sequence of videos below. There is one for slope, slope-intercept form, and point-slope form.

Intro to slopeSal shows how to find the slope of a line.

Slope of a horizontal lineWhen two points have the same y-value, it means they lie on a horizontal line. The slope of such a line is 0, and you will also find this by using the slope formula.

Slope-intercept equation from graphLearn to write equations in slope-intercept form for three different lines.

Intro to point-slope formPoint-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept). Watch this video to learn more about it and see some examples.

Intro to slope-intercept formSlope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line. Watch this video to learn more about it and see some examples.

Graphing Linear Equations

Khan Academy: I would complete each sequence of videos below.

Graph from slope-intercept equationTo graph a linear equation in slope-intercept form, we can use the information given by that form. For example, y=2x+3 tells us that the slope of the line is 2 and the y-intercept is at (0,3). This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.

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