Understanding Forms and Graphing in Algebra

What is the primary advantage of using the slope-intercept form of a linear equation?

• It is easier to graph the equation.

• It is easier to find the x-intercept.

• It is easier to find the slope.

• It is easier to solve word problems.

In standard form, what must the coefficients of x and y be?

• Decimals

• Negative numbers

• Fractions

• Integers

When converting from standard form to slope-intercept form, what is the first step?

• Multiply by the coefficient of y.

• Subtract the coefficient of x from both sides.

• Add the coefficient of x to both sides.

• Divide by the coefficient of y.

What is the order of operations used when solving for y in an equation?

• PEMDAS

• Reverse PEMDAS

• BODMAS

• Reverse BODMAS

In the example 3x + 2y = 10, what is the resulting slope-intercept form?

• y = -3x + 5

• y = 3x - 5

• y = -3/2x + 5

• y = 3/2x + 5

After converting 2x - 4y = 12 to slope-intercept form, what is the equation?

• y = 1/2x - 3

• y = -1/2x + 3

• y = 1/2x + 3

• y = -1/2x - 3

What is the first step in solving the practice problem y = -1/3x + 2?

• Multiply by 3.

• Add x to both sides.

• Divide by 3.

• Subtract x from both sides.

In graphing, what does the slope of -3/2 indicate?

• Rise 3, run 2

• Rise 2, run 3

• Fall 3, run 2

• Fall 2, run 3

What is the y-intercept of the equation y = 12x - 2?

• (0, 12)

• (0, -2)

• (12, 0)

• (-2, 0)

When graphing, what is the significance of the y-intercept?

• It is the midpoint of the line.

• It is where the line crosses the x-axis.

• It is where the line crosses the y-axis.

• It determines the slope of the line.