Converting Linear Equations: Standard to Slope Intercept Form

The video tutorial demonstrates how to convert linear equations from standard form to slope-intercept form using four examples. The instructor explains the process in two steps: adding the opposite of the X term to both sides and dividing by the coefficient of Y. Each example is solved step-by-step, highlighting common mistakes and ensuring clarity. The video concludes with a summary of the steps and encourages viewers to engage with the content by subscribing, liking, or commenting.

What is the general form of a linear equation in standard form?

• ax + by = c

• y = mx + b

• x + y = c

• ax + by = 0

In the equation 8x - 4y = 20, what is the value of 'a'?

• 20

• -4

• 4

• 8

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

• Add the opposite of the x term to both sides

• Divide by the coefficient of y

• Subtract the constant term from both sides

• Multiply both sides by -1

After adding the opposite of the x term in the equation 8x - 4y = 20, what is the resulting equation?

• 4y = -8x + 20

• -4y = 8x - 20

• 4y = 8x - 20

• -4y = -8x + 20

What is the slope of the equation y = 2x - 5?

• 1/2

• -5

• 2

• -2

In the equation 3x + 7y = -14, what is the value of 'b' in the slope-intercept form?

• -3/7

• 3/7

• 2

• -2

What is the slope of the equation y = -3/7x - 2?

• -3/7

• 3/7

• 2

• -2

In the equation x + 2y = -12, what is the slope in the slope-intercept form?

• -2

• 2

• 1/2

• -1/2

What is the y-intercept of the equation y = -1/2x - 6?

• -6

• -1/2

• 6

• 1/2

In the equation 5x - y = 9, what is the slope in the slope-intercept form?

• 5

• -5

• 1/5

• -1/5