Exploring Equations of Lines

Mr. Dubois guides students through writing equations using different types of given information, such as slope and y-intercept, graphs, points, and parallel or perpendicular lines. The lesson involves setting up a foldable for organizing work and using tools like the slope formula and y=mx+b. Each type of problem is explained step-by-step, emphasizing the importance of finding slope (m) and y-intercept (b) to form equations in slope-intercept form.

What is the first step in setting up the foldable for writing equations?

• Fold in the names

• Cut the graphs

• Write the equations

• Color the graphs

When given the slope and y-intercept, what is the first thing you should do?

• Find the slope

• Find the y-intercept

• Organize the information

• Find the x-intercept

What is the slope in the example where the slope is -1/2 and the y-intercept is 12?

• 12

• -12

• -1/2

• 1/2

What is the y-intercept in the example where the slope is -1/2 and the y-intercept is 12?

• 12

• -1/2

• -12

• 1/2

When given a graph, what is the first thing you need to find?

• The equation

• The x-intercept

• The slope

• The y-intercept

How do you determine the slope from a graph?

• Draw a line

• Count the rise over run

• Find the y-intercept

• Find the x-intercept

What tool do you use to find the y-intercept when given a slope and a point?

• Calculator

• y = mx + b

• Graph

• Slope formula

What is the slope of a line parallel to a line with a slope of 4?

• -1/4

• 4

• -4

• 1/4

What is the opposite reciprocal of a slope of -1/2?

• 2

• -1/2

• -2

• 1/2

What is the final step in writing an equation given two points?

• Put the slope and y-intercept together

• Find the y-intercept

• Graph the points

• Find the slope