Understanding Linear Equations and Graphs

The video tutorial covers graphing linear equations using the slope-intercept form. It explains the components of the form, including the slope and y-intercept, and demonstrates how to graph equations step-by-step. The tutorial includes examples of different equations and discusses various types of slopes, such as positive, negative, and undefined slopes.

What is the role of the number in front of x in the slope-intercept form of a linear equation?

• It is the output value.

• It is the x-coordinate.

• It is the slope of the line.

• It represents the y-intercept.

In the equation y = -1/3x + 3, what does the number 3 represent?

• The y-intercept.

• The x-intercept.

• The slope of the line.

• The rate of change.

When graphing the equation y = -1/3x + 3, what is the initial point on the y-axis?

• (0, 3)

• (3, 0)

• (3, 3)

• (0, -3)

How do you graph a line with a whole number slope like y = 2x?

• Use the slope as is without any changes.

• Add a denominator of 1 to the slope.

• Ignore the slope and use the y-intercept only.

• Convert the slope to a fraction with a denominator of 2.

What should you do if your graph is not forming a straight line?

• Start graphing from a different point.

• Check if the slope is applied correctly.

• Change the y-intercept.

• Use a different equation.

What is the slope of a line that is horizontal?

• Zero

• Negative

• Undefined

• Positive

What does an undefined slope look like on a graph?

• A curved line

• A horizontal line

• A vertical line

• A diagonal line

If a line has a positive slope, in which direction does it go?

• Downwards from left to right

• Upwards from left to right

• Horizontally

• Vertically

What is the slope of the line y = x?

• 0

• Undefined

• 1

• -1

In the equation y = 1/3x - 5, what is the y-intercept?

• -5

• 5

• 0

• 1/3