Algebra 6.1 HW Flashcard

Front

What is the solution to the system of equations y=(-1/3)x+5 and y=-3x+5 when solved by graphing?

Back

(0,5)

Front

What is the solution to the system of equations y=(-1/2)x+4 and y=(-3/2)x+6 when solved by graphing?

Back

(2,3)

Front

What does it mean if a system of linear equations has infinitely many solutions?

Back

The two lines are the same line.

Front

What is the solution to the system of equations y=-1 and y=-x+5 when solved by graphing?

Back

(6,-1)

Front

What does it mean if a system of linear equations has one solution?

Back

The two lines are intersecting lines.

Front

What is the general form of a linear equation?

Back

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

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of the line represented by the equation y = -2x + 3?

Back

The y-intercept is 3.

Front

What does it mean for two lines to be parallel in terms of their slopes?

Back

Two lines are parallel if they have the same slope.

Front

How can you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.