3-4 Day 1 Equations of Lines

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Presentation transcript:

3-4 Day 1 Equations of Lines

2 Forms

Example Write an equation in slope-intercept form of the line with slope of 6 and y-intercept of –3. Then graph the line. y = mx + b Slope-intercept form y = 6x + (–3) m = 6, b = –3 y = 6x – 3 Simplify.

Example Answer: Plot a point at the y-intercept, –3. Use the slope of 6 or to find another point 6 units up and 1 unit right of the y-intercept. RISE OVER RUN!!! Draw a line through these two points.

Example Write an equation in slope-intercept form of the line with slope of –1 and y-intercept of 4. A. x + y = 4 B. y = x – 4 C. y = –x – 4 D. y = –x + 4

Example Write an equation in point-slope form of the line whose slope is that contains (–10, 8). Then graph the line. Point-slope form Simplify.

Example Answer: Graph the given point (–10, 8). Use the slope to find another point 3 units down and 5 units to the right. Draw a line through these two points.

Example Write an equation in point-slope form of the line whose slope is that contains (6, –3). A. B. C. D.

Example Given Two Points Write an equation in slope-intercept form for a line containing (4, 9) and (–2, 0). Step 1 First, find the slope of the line. Slope formula x1 = 4, x2 = –2, y1 = 9, y2 = 0 Simplify.

Example Step 2 Now use the point-slope form and either point to write an equation. Point-slope form Using (4, 9): Distributive Property Add 9 to each side. Answer:

TWAP!! Write an equation in slope-intercept form for a line containing (–3, –7) and (–1, 3). Slope Using (–1, 3): Add 3 to each side. y = 5x + 8 Answer:

SPECIAL LINES!! y = a #, Horizontal line, slope = 0 x = a #, Vertical line, slope = Undefined

Example What do we notice about the ordered pairs and our answer??? Write an equation of the line through (5, –2) and (0, –2) in slope-intercept form. Step 1 This is a horizontal line. Answer:

TOO: Find an equation for (3, -2) and (3, 5) WITHOUT finding slope!! Answer: x = 3

HW: Pg. 202-203 #13-35 ODD Graphs for #13-23