Writing y=mx+b

Front

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

Back

The slope-intercept form is 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 as m = (y2 - y1) / (x2 - x1).

Front

What does the slope (m) represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What does the y-intercept (b) represent in the slope-intercept form?

Back

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

Front

Write the slope-intercept form of the equation that passes through the points (-3, 2) and (1, 10).

Back

y = 2x + 8.

Front

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

Back

y = 1/2x + 4.

Front

Write the slope-intercept form of the equation that passes through the points (2,5) and (6,13).

Back

y = 2x + 1.

Front

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

Back

y = 5x - 20.

Front

Write the slope-intercept form of the equation through (-1,4) with slope m = -3.

Back

y = -3x + 1.

Front

What is the significance of a positive slope?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant of the line.