SOE: Slope-Intercept Form

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

How do you identify the slope from the equation y = 2x + 1?

Back

The slope (m) is 2.

Front

What does the y-intercept represent in the equation y = 2x + 1?

Back

The y-intercept (b) is 1, which means the line crosses the y-axis at (0, 1).

Front

How do you graph the equation y = 2x + 1?

Back

Start at the y-intercept (0, 1) and use the slope (2) to rise 2 units up and run 1 unit to the right.

Front

What is the solution to the system of equations y = 2x + 1 and y = 4x - 1?

Back

The solution is the point (1, 3).

Front

How do you find the intersection of two lines graphically?

Back

Graph both equations on the same coordinate plane and identify the point where they intersect.

Front

What is the solution to the system of equations y = 1/2x + 2 and y = -3x + 9?

Back

The solution is the point (2, 3).

Front

What does it mean if two lines are parallel in terms of their slopes?

Back

If two lines are parallel, they have the same slope but different y-intercepts.

Front

What is the solution to the system of equations y = 6x - 4 and y = -x + 3?

Back

The solution is the point (1, 2).

Front

What is the significance of the point (3, -3) in the context of the equation y = 2x - 3?

Back

It is a point on the line represented by the equation.