Converting Standard Form to Slope-Intercept Form

The lesson reviews converting linear equations from standard form to slope-intercept form. It includes detailed steps and examples, emphasizing the importance of isolating the y variable and simplifying fractions. The lesson also covers graphing the converted equations, highlighting the slope and y-intercept. Students are encouraged to practice independently and complete a homework assignment.

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

• Divide the coefficient of y

• Add or subtract the x term to the other side

• Multiply both sides by the coefficient of x

• Simplify the constant term

In the equation x + y = 2, what is the slope when converted to slope-intercept form?

• -2

• -1

• 1

• 2

What is the slope of the equation 5x + 6y = 12 when converted to slope-intercept form?

• -5/6

• 6/5

• 5/6

• -6/5

What is the y-intercept of the equation y = -5/6x + 2?

• -2

• -5/6

• 5/6

• 2

In the equation 2x + 6y = -24, what is the simplified form of the slope?

• 2/6

• 1/3

• 1/6

• 2/3

What is the y-intercept of the equation y = 3/5x - 1?

• 1

• -1

• 3/5

• -3/5

When graphing the equation y = -3x + 5, where do you start on the y-axis?

• At -5

• At 5

• At -3

• At 3

What is the slope of the equation y = -5/2x + 3?

• -2/5

• 2/5

• -5/2

• 5/2

In the equation -12y = 8x, what is the slope when converted to slope-intercept form?

• 2/3

• -3/2

• -2/3

• 3/2

What is the y-intercept of the equation y = -1/2x - 3?

• 3

• -1/2

• -3

• 1/2