Finding the Equation of a Line from a Graph

This video tutorial teaches how to write the equation of a line using information from a graph. It covers the concepts of ordered pairs, y-intercept, and slope, explaining how these elements form a linear equation. The tutorial demonstrates calculating the slope using two points and introduces the slope-intercept form. It also highlights common mistakes in selecting coordinate pairs and provides a step-by-step guide to writing the equation of a line, including verification with a point on the line.

What is the y-intercept of the equation y = 2x + 3?

• 0

• 3

• 5

• 2

Which of the following points is used to calculate the slope in the example provided?

• (1, 5) and (2, 7)

• (0, 0) and (1, 1)

• (1, 1) and (0, -4)

• (2, 2) and (3, 3)

What is the correct formula for calculating the slope between two points?

• (x2 - x1) / (y2 - y1)

• (y2 - y1) / (x2 - x1)

• (x1 - x2) / (y1 - y2)

• (y1 - y2) / (x1 - x2)

What is the slope of the line that passes through the points (1, 1) and (0, -4)?

• 4

• 2

• 3

• 1

Which point is used to verify the equation of the line in the final example?

• (2, 2)

• (0, -4)

• (3, 3)

• (1, 1)