Math 2 FOundations Flashcard 1

Front

In the equation y=mx+b, what does the m represent?

Back

m represents the slope of the line.

Front

Write the equation of the line with a slope of -3 and a y-intercept of -3.

Back

y = -3x - 3

Front

What is the first step in solving the equation: 5x + 7 = 12?

Back

Subtract 7 from both sides.

Front

What is the slope in the equation y=2x + 3?

Back

The slope is 2.

Front

What is the first step to solve the equation: 5 - 2x = 9?

Back

Subtract 5 from both sides.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and never intersect.

Front

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

Back

y - y1 = m(x - x1), where (x1, y1) is a point on the line.