5.3 Flashcardizz Part 2

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm'. It is calculated as the change in y (rise) divided by the change in x (run).

Front

How do you find the slope 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 point-slope form of a linear equation?

Back

The point-slope form is given by: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

Convert the point-slope form to slope-intercept form: y - 3 = -2(x + 4).

Back

The slope-intercept form is y = -2x - 5.

Front

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

Back

The slope-intercept form is given by: y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine if a slope is undefined?

Back

A slope is undefined when the line is vertical, meaning the change in x is zero (x1 = x2).

Front

Find the slope of the line passing through the points (-4, 5) and (-4, 2).

Back

The slope is undefined because the x-coordinates are the same.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

Write the equation of a line in slope-intercept form with a slope of -1/4 passing through (0, -3).

Back

The equation is y = -1/4x - 3.

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, represented by 'b' in the slope-intercept form.