Lesson 2: The Equation of a Line The Equation of a Line is: y = mx + b Where m is the slope And b is the y-intercept.

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Presentation transcript:

Lesson 2: The Equation of a Line The Equation of a Line is: y = mx + b Where m is the slope And b is the y-intercept

Lesson 2: The Equation of a Line

We represent slope with the letter “m”. We can write slope several different ways: m = slope Rise: The vertical distance between two points Run: The horizontal distance between two points Lesson 2: The Equation of a Line

Use the graph to calculate the slope between the points (-3, -1) and (4, 3) Lesson 2: The Equation of a Line

b in y = mx + b is the y-intercept. Lesson 2: The Equation of a Line The y-intercept is the point where the line crosses the y- axis. The x-value of the y-intercept is always: The y-intercept is also known as:

The equation of a line is often in the form: Y = mx + b When asked to write the equation of a line you must find the: Lesson 2: The Equation of a Line

Write the equation of a line with a slope of 10 and a y-intercept of -3. Lesson 2: The Equation of a Line

Determine the equation of this line.

Lesson 2: The Equation of a Line Determine the equation of this line.

A line has a slope of -3 and passes through the point (2, 4). What is the equation of this line? Lesson 2: The Equation of a Line

A line has a slope of 1 and passes through the point (-6, 5). What is the equation of this line? Lesson 2: The Equation of a Line

A line has a slope of 7 and passes through the point (5, -9). What is the equation of this line? Lesson 2: The Equation of a Line

A line has a slope of -12 and passes through the point (-6, 0). What is the equation of this line? Lesson 2: The Equation of a Line

A line has a slope of 1 and an x-intercept of 9. Lesson 2: The Equation of a Line