Writing Linear Equations from Graphs

This video tutorial explains how to write linear equations in slope-intercept form from graphs and vice versa. It covers the identification of the y-intercept and slope from a graph, using the rise over run formula, and demonstrates the process with examples. The tutorial also shows how to graph a line given an equation, emphasizing the importance of selecting points where the grid lines intersect.

What is the general form of a linear equation in slope-intercept form?

• y = ax^2 + bx + c

• y = mx + b

• y = mx^2 + b

• y = ax + b

In the slope-intercept form y = mx + b, what does 'm' represent?

• The constant term

• The y-intercept

• The slope

• The x-intercept

In the slope-intercept form y = mx + b, what does 'b' represent?

• The slope

• The x-intercept

• The gradient

• The y-intercept

If a graph touches the y-axis at positive 2, what is the y-intercept?

• -2

• 2

• 1

• 0

How do you calculate the slope from a graph?

• Difference of x and y

• Sum of x and y

• Rise over run

• Run over rise

If the rise is -6 and the run is -2, what is the slope?

• 3

• -3

• 1

• -1

For a graph with a y-intercept of 4, what is the value of 'b' in the equation y = mx + b?

• 4

• -4

• 0

• 2

If the rise is -3 and the run is 2, what is the slope?

• -1.5

• 1.5

• -3

• 3

Given the equation y = -4/3x + 2, what is the y-intercept?

• -4/3

• 4/3

• -2

• 2

For the equation y = -4/3x + 2, what is the slope?

• 4/3

• 2

• -2

• -4/3