Graphing Linear Equations in Standard Form

What is the standard form of a linear equation?

• ax + by = c

• ax^2 + by^2 = c

• ax^2 + by = c

• ax + by^2 = c

What must be true about the coefficients A and B in the standard form of a linear equation?

• Both A and B must be zero

• Either A or B must be zero

• Neither A nor B can be zero

• A and B cannot both be zero

What is the first step in graphing a linear equation in standard form?

• Plot the intercepts

• Connect the points with a line

• Find the intercepts

• Divide both sides by the coefficient of x

How do you find the x-intercept of a linear equation in standard form?

• None of the above

• Set x to zero and solve for y

• Set y to zero and solve for x

• Multiply both sides by x

What is the next step after finding the intercepts in graphing a linear equation?

• Solve the equation

• Label the graph

• Plot the intercepts on the graph

• Connect the intercepts with a curve

In example one, what is the x-intercept of the equation 3x - 4y = 12?

• (4, 0)

• (0, -4)

• (0, 4)

• (-4, 0)

In example one, what is the y-intercept of the equation 3x - 4y = 12?

• (0, 3)

• (0, -3)

• (3, 0)

• (-3, 0)

What is the x-intercept in example two for the equation x + y = -4?

• (4, 0)

• (0, 4)

• (-4, 0)

• (0, -4)

What is the y-intercept in example two for the equation x + y = -4?

• (0, -4)

• (-4, 0)

• (0, 4)

• (4, 0)

What should you do after plotting the intercepts on a graph?

• Label the intercepts

• Connect them with a straight line

• Draw a circle at each intercept

• Erase the intercepts