INT MATH - ACT Math Review

Front

What is the formula for calculating the slope of a line between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line through the points (-3, 1) and (5, 6)?

Back

The slope is \( \frac{5}{8} \).

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept of a line in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x = 0, representing where the line crosses the y-axis.

Front

How do you find the value of y for a given x in the equation y = -3x + 2?

Back

Substitute the value of x into the equation and solve for y.

Front

If a point (4, r) lies on the line y = -3x + 2, what is the value of r?

Back

The value of r is -10.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0.

Front

What does it mean for two lines to be parallel?

Back

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

Front

What does it mean for two lines to be perpendicular?

Back

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

Front

What is the significance of the coordinates (x, y) in a coordinate plane?

Back

The coordinates (x, y) represent a specific point's position in relation to the x-axis and y-axis.