Chp 5 Review: Understanding Slope and Intercepts

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the slope-intercept form of a linear equation, which is given by the formula: m = (change in y) / (change in x).

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 y-intercept of a line?

Back

To find the y-intercept of a line, set x = 0 in the equation of the line and solve for y.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the equation of a line parallel to y = -1/2x + 3?

Back

The equation of a line parallel to y = -1/2x + 3 will have the same slope of -1/2. For example, y = -1/2x + b, where b is any y-intercept.

Front

How do you write the equation of a line given a point and a slope?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.

Front

What is the significance of the y-intercept in a linear equation?

Back

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

Front

How do you convert from point-slope form to slope-intercept form?

Back

To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y.

Front

What is the slope of the line represented by the equation y = 4x + 3?

Back

The slope of the line is 4.