Exploring Graphing Linear Equations

What is a solution to a linear equation in two variables?

• An algebraic expression equivalent to the equation

• A numerical method to solve the equation

• A graphical representation of the equation

• A pair of values that satisfies the equation

Which ordered pair is a solution to the equation y = -2x - 1?

• (1, -3)

• (3, -7)

• (0, -1)

• (2, -5)

What form does a linear equation typically take?

• y = mx + b

• x^2 + y^2 = r^2

• ax^2 + bx + c = 0

• y = mx^2 + b

What does the slope (m) represent in the equation y = mx + b?

• The y-intercept of the line

• Change in y for a unit change in x

• The maximum value of y

• The x-intercept of the line

In the equation y = 4x + 1, what is the value of y when x = 2?

• 9

• 8

• 7

• 6

What is the y-value when x = 0 in the equation y = 4x + 1?

• 0

• 5

• 4

• 1

How many points are necessary to graph a line?

• One

• Four

• Two

• Three

If a line is graphed on the Cartesian coordinate system, what does each point on the line represent?

• A solution to the equation

• A potential maximum or minimum

• An intersection with another line

• A possible slope of the line

How do you convert the equation 3x - 2y = 8 to the form y = mx + b?

• Graph the equation and determine the slope

• Set x to zero and solve for y

• Multiply all terms by 2

• Isolate y on one side of the equation

What is the y-value when x = 2 in the equation y = 3/2x - 4?

• -1

• 2

• 0

• -2