Flashcardizz: Is the Equation Linear?

Front

Is the equation 2x + y = -7 linear?

Back

Yes, this equation is linear because it can be expressed in the form y = mx + b.

Front

Is the equation y - 0.5x = 5 linear?

Back

Yes, this equation is linear as it can be rearranged to y = 0.5x + 5.

Front

Is the equation y = 5 linear?

Back

Yes, this is a linear equation representing a horizontal line.

Front

What must be true for an equation to be linear?

Back

An equation is linear if it has no exponents on variables.

Front

Is the equation y = \frac{2}{x} + 5 linear?

Back

No, this equation is not linear because it contains a variable in the denominator.

Front

What is a linear equation?

Back

A linear equation is an equation that graphs to a straight line.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

Can a linear equation have negative coefficients?

Back

Yes, a linear equation can have negative coefficients.