118 2.1 HW

Front

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

Back

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

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does it mean if a line has a negative slope?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What is the y-intercept of the line y = -1/4 x - 1?

Back

The y-intercept is -1, which is the value of y when x = 0.

Front

What is the solution to the equation 2x + 3 = 7?

Back

The solution is x = 2.

Front

What does it mean if an equation has 'no solution'?

Back

It means that there are no values of the variable that can satisfy the equation.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.

Front

How do you determine if a system of equations has infinitely many solutions?

Back

If the equations represent the same line, they have infinitely many solutions.

Front

What is the significance of the point (0, b) in the slope-intercept form?

Back

The point (0, b) represents the y-intercept of the line, where the line crosses the y-axis.

Front

What is the solution to the equation 3x - 5 = 1?

Back

The solution is x = 2.