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Warm-up: Mon., 8-19th

This warm-up series addresses essential concepts of linear equations, including point-slope and slope-intercept forms. Students will learn how to write equations given a point and slope, find intercepts, and graph lines effectively. The series incorporates various tasks such as determining slopes from points, writing perpendicular lines, and analyzing equations of direct variation. Engaging with these exercises will enhance understanding of line properties and graphing, which are foundational skills in algebra.

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Warm-up: Mon., 8-19th

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  1. Warm-up: Mon., 8-19th • Given the point (2, -3) and slope = 8 • Write an equation in point-slope intercept form. • Write an equation in slope-intercept form • Write an equation in standard form form.

  2. Warm-up: Tues. 8-20th • Find the x and y-intercepts of the line. Then graph. • 2x + 5y = -10 • -3x + 2y = 6 Write and graph an equation to represent the situation. You put 15 gallons of gasoline in your car. You know that this amount of gasoline will allow you to drive about 450 miles.

  3. Warm-up: BLOCK DAY • Write an equation through the line that is perpendicular to and contains the given pt. • Y = 4 ; (-3, 1) • Graph the equation using the x and y-intercept. • 3x + 5y =12

  4. Warm-up: Fri. 8/23 1. If two lines are parallel they have the _____slope and ____y-intercepts. 2. An equation of direct variation is ____ where ___ is the constant. Find the slope for the given points. 3. (2, 3) and (4, 5) 4. (-4, 6) and (2, 2)

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