STAAR REVIEW - Linear Relationships Part 1

Front

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

Back

The slope-intercept form of a linear equation is given by the formula 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 using the formula m = (y2 - y1) / (x2 - x1).

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; it indicates how steep the line is.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x = 0; it is the point where the line crosses the y-axis.

Front

If a line has a positive slope, what does that indicate about the relationship between x and y?

Back

A positive slope indicates that as x increases, y also increases.

Front

If a line has a negative slope, what does that indicate about the relationship between x and y?

Back

A negative slope indicates that as x increases, y decreases.

Front

What is the equation of a line with a slope of -2 and a y-intercept of 5?

Back

The equation is y = -2x + 5.

Front

What does it mean if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What does it mean if two lines are perpendicular?

Back

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

Front

How can you determine if a point (x, y) lies on a line represented by the equation y = mx + b?

Back

Substitute the x-value into the equation to see if the resulting y-value matches the y-coordinate of the point.