Graphing Linear Equations: From Standard to Slope-Intercept Form

The video tutorial demonstrates how to graph an equation using the slope-intercept form. It begins with an introduction to graphing and explains the process of converting an equation to the y = mx + b format. The tutorial then identifies the slope and y-intercept, followed by plotting these on a graph. The instructor provides a step-by-step guide to ensure understanding, emphasizing the importance of the slope as a ratio and the y-intercept as a coordinate point.

Why does the teacher choose to use the slope-intercept form for graphing the equation?

• Because both 3 and 5 do not divide into 10 evenly.

• Because it is easier to understand.

• Because it is faster.

• Because it is the only method available.

What is the first step in rewriting the equation in slope-intercept form?

• Dividing both sides by -5.

• Multiplying both sides by 5.

• Subtracting 3x from both sides.

• Adding 3x to both sides.

After subtracting 3x from both sides, what is the resulting equation?

• 5y = -3x + 10

• -5y = 3x - 10

• 5y = 3x - 10

• -5y = -3x + 10

What is the slope (m) of the equation after rewriting it in slope-intercept form?

• 3

• 3/5

• -3/5

• -2

What is the y-intercept (b) of the equation after rewriting it in slope-intercept form?

• -3/5

• 3/5

• -2

• 2

What is the coordinate point of the y-intercept?

• (-2, 0)

• (2, 0)

• (0, 2)

• (0, -2)

How is the slope interpreted in terms of rise and run?

• Rise of -3, run of 5

• Rise of 3, run of -5

• Rise of 5, run of 3

• Rise of 3, run of 5

How many units do you go up and over to plot the second point using the slope?

• Up 3 units, over 3 units

• Up 3 units, over 5 units

• Up 5 units, over 5 units

• Up 5 units, over 3 units

What do you do after plotting the points on the graph?

• Check the points.

• Erase the points.

• Connect the points.

• Label the points.

What is the final step in graphing the equation?

• Connecting the points.

• Rewriting the equation.

• Identifying the y-intercept.

• Identifying the slope.