Find the equation of a line from given graph

The video tutorial revisits the concept of the slope-intercept form of a line, y = mx + b. It explains how to find the y-intercept, where the graph crosses the y-axis, and how to calculate the slope, which is the change in y over the change in x. The tutorial provides examples and methods for determining these values, including using a graph and the slope formula. The video concludes by applying these concepts to solve problems, reinforcing the understanding of how to use the slope and y-intercept in equations.

What is the y-intercept in the equation y = mx + b?

• The point where the line crosses the x-axis

• The point where the line crosses the y-axis

• The slope of the line

• The angle of the line

How can you determine the slope of a line from a graph?

• By finding the y-intercept

• By counting the vertical and horizontal changes between two points

• By measuring the angle of the line

• By identifying the x-intercept

Which formula is used to calculate the slope between two points?

• x2 - x1 over y2 - y1

• y2 - y1 over x2 - x1

• x1 + x2 over y1 + y2

• y1 + y2 over x1 + x2

What is the slope of a line that goes down 3 units and over 5 units?

• -5/3

• 5/3

• -3/5

• 3/5

How do you form the equation of a line using the slope and y-intercept?

• Add the slope to the y-intercept

• Multiply the slope by the y-intercept

• Plug the slope in for m and the y-intercept for b in y = mx + b

• Subtract the y-intercept from the slope