Slope Intercept Form

Front

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

Back

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

Front

How do you find the slope (m) between 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?

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 the slope-intercept form?

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented as (0, b).

Front

Write the equation of the line in slope-intercept form with slope m = 4 through the point (-2, 5).

Back

y = 4x + 13.

Front

Write the slope-intercept form of the equation with the given point (2,5) and slope m = 1/2.

Back

y = 1/2x + 4.

Front

Find the equation of the line that passes through the points (2, 2) and (3, 4).

Back

y = 2x - 2.

Front

Given the two points (0, 6) and (6, 18), write the equation of the line.

Back

y = 2x + 6.

Front

Write the equation of the line with slope = 5 that goes through point (3, -5).

Back

y = 5x - 20.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent speed, growth rate, or any other rate of change in real-world scenarios.