Objectives:
• Students will solve for the slope of a line given two points algebraically
• Students will solve for the equation of a line given the slope and two points algebraically
• Students should interpret the effects the slope has on a line verbally by looking at a graph of a function
• Students recognize that lines with the same slope are parallel visually
• Students will solve for the equation of a line using point-slope form
• Students will be responsible for putting the equation into y-intercept form
Teacher Notes:
• On the Geogebra applet, teachers should hide the slope and equation of Line_a and Line_b until after the students have solved for these themselves.
• Teachers can use the sliders to show how a different slope value changes the steepness and direction of the line.
• Use the check boxes to show the equations of the lines and the slopes of the lines. Also, move the points A, B, D, C to different points on the line to allow the students to solve for the slope. They should find it’s the same.
• Students should be using point-slope form to solve for the equations of the lines. The lines should be put into y-intercept form to match the equations on the Geogebra.
