Graphical Solutions for Linear Systems

What is the main difference between level one and level two in solving linear systems graphically?

• Level one uses only slope-intercept form equations.

• Level two uses only slope-intercept form equations.

• Level one uses standard form equations.

• Level two does not involve graphing.

In the equation y = mx + b, what does 'b' represent?

• The coefficient of x

• The y-intercept of the line

• The x-intercept of the line

• The slope of the line

How do you convert the equation x + y = 1 to slope-intercept form?

• Subtract x from both sides

• Add x to both sides

• Multiply both sides by x

• Divide both sides by y

What is the slope of the line represented by the equation y = -x + 1?

• 2

• 0

• -1

• 1

If a line has a slope of -2, how would you graph it starting from the y-intercept?

• Up 2, right 1

• Down 1, right 2

• Down 2, right 1

• Up 1, right 2

What is the solution to the system of equations if the lines intersect at (2, -1)?

• (2, 1)

• (-2, -1)

• (2, -1)

• (-2, 1)

How do you solve for y in the equation -y = -x - 2?

• Multiply both sides by -1

• Add x to both sides

• Subtract x from both sides

• Divide both sides by -1

What is the y-intercept of the line represented by the equation y = -3/4x - 8?

• -3/4

• 8

• -8

• 3/4

In the final example, what is the slope of the line y = 1/2x - 3?

• -1/2

• -3

• 1/2

• 2

What is the point of intersection for the final system of equations?

• (2, -1)

• (3, 1)

• (-4, -5)

• (-3, -1)