Exploring Linear Equations through Graphs

This video tutorial explains how to find and write linear equations from graphs. It covers scenarios where the y-intercept is visible and when it is not. The tutorial guides viewers through finding the slope using a graph or formula, and how to use the point-slope form to solve for the y-intercept. It also addresses how to handle cases where the y-intercept is not visible on the graph, emphasizing the importance of using clearly defined points for accurate calculations.

What is the first step in finding a linear equation from a graph?

• Find the slope

• Label the axes

• Identify the y-intercept

• Draw a line

When the y-intercept is visible on the graph, what can you do?

• Estimate the slope

• Use any point on the graph

• Read the y-intercept directly from the graph

• Ignore the y-intercept

How can you find the slope if you are comfortable reading the graph?

• Ignore the slope

• Use the graph directly

• Estimate the slope

• Use the slope formula

What is the slope of a line passing through points (2,2) and (1,1)?

• -1

• 0

• 1

• 2

What is the formula used to find the y-intercept (b) once you have the slope?

• y = mx + b

• y = b + mx

• y = x + mb

• y = m + bx

If the y-intercept is not visible on the graph, what should you do?

• Estimate the y-intercept

• Use the slope formula and substitute a point

• Ignore the y-intercept

• Use any random point

What is the slope of a line passing through points (3, -2) and (2, 2)?

• 2

• -2

• -4

• 4

What is the y-intercept (b) if the slope (m) is -4 and the line passes through the point (2, 2)?

• -8

• 10

• -10

• 8

What is the final linear equation if the slope is -4 and the y-intercept is 10?

• y = 4x + 10

• y = -4x + 10

• y = 4x - 10

• y = -4x - 10

What does the y-intercept represent in the context of a graph?

• The slope of the line

• The point where the line crosses the y-axis

• The point where the line crosses the x-axis

• The steepness of the line