Graphing Linear Equations: From Standard to Slope Intercept Form

The video tutorial explains how to graph equations in standard form by converting them to slope-intercept form for more precise plotting. It demonstrates the process with two example problems, highlighting the benefits of using slope-intercept form over plotting x and y-intercepts directly. The tutorial emphasizes accuracy in graphing and provides step-by-step instructions for converting and plotting equations.

What is the standard form of the equation given in the video?

• y = mx + b

• y = ax^2 + bx + c

• x^2 + y^2 = r^2

• ax + by = c

What is the first step in converting the equation from standard form to slope-intercept form?

• Subtracting the x-term from both sides

• Adding the x-term to both sides

• Multiplying both sides by the y-term

• Dividing both sides by the x-term

After converting the equation to slope-intercept form, what is the next step in graphing?

• Drawing the line

• Plotting the y-intercept

• Finding the y-intercept

• Finding the x-intercept

What is the y-intercept of the equation y = (2/3)x + 2?

• 3

• 1

• 0

• 2

What is the slope of the equation y = (2/3)x + 2?

• 1/2

• 2/3

• 3

• 2

Why does the teacher prefer converting to slope-intercept form over using x and y-intercepts?

• It is easier to understand

• It requires fewer steps

• It is more precise

• It is faster

In the alternative method, what is the x-intercept of the equation -2x + 3y = 6?

• 3

• -3

• 2

• -2

In the second example, what is the slope of the equation y = -2x - 6?

• -2

• 6

• 2

• -6

What is the y-intercept of the equation y = -2x - 6?

• 6

• -2

• 2

• -6

What is the first step in converting the equation 4x + 2y = -12 to slope-intercept form?

• Subtracting 4x from both sides

• Multiplying both sides by 2

• Adding 4x to both sides

• Dividing both sides by 4