Graphing Linear Equations: From Standard to Slope-Intercept Form

The video tutorial covers graphing linear equations using slope intercept form. It begins with a review of the slope intercept form and its components, followed by a demonstration of graphing a line using this form. The tutorial then explains how to convert an equation from standard form to slope intercept form and solve for Y. Finally, it shows how to graph the equation by identifying the Y-intercept and using the slope to find additional points.

What is the first step in graphing using slope-intercept form?

• Plotting the y-intercept

• Drawing the slope triangles

• Creating a table of values

• Identifying the x-intercept

Why is it not necessary to create a table of values when graphing a line?

• Because the y-intercept is not important

• Because the slope is always 1

• Because it's too time-consuming

• Because you only need two points to graph a line

How do you convert the equation 3x + 5y = 15 to slope-intercept form?

• Isolate y on one side

• Divide each term by 3

• Subtract 3x from both sides

• Multiply each term by 5

What is the slope in the equation y = -3/5x + 3?

• -3/5

• 5/3

• 3/5

• -5/3

Where do you plot the y-intercept on a graph?

• At the highest point of the graph

• At the origin

• On the y-axis

• On the x-axis

What does the slope of -3/5 indicate in terms of rise and run?

• Rise 3, run -5

• Rise -3, run 5

• Rise 5, run 3

• Rise 3, run 5

What is the y-intercept in the equation y = -3/5x + 3?

• 0

• -3

• -3/5

• 3

How do you determine the next points on the graph after plotting the y-intercept?

• By guessing and checking

• By creating a table of values

• By using the slope to go down and to the right

• By using the slope to go up and to the right

What is the correct way to write the slope as a fraction?

• 3 over 5

• -3 over -5

• -3 over 5

• 5 over -3

How do slope triangles help in graphing a line?

• They are used to measure the length of the line

• They determine the x-intercept

• They help in finding more points based on the slope

• They indicate the highest point of the line