Slope-Intercept Form and Linear Equations

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

Back

The y-intercept b represents the point where the line crosses the y-axis.

Front

Write the slope-intercept form of the line with slope m = 2 and y-intercept b = 3.

Back

y = 2x + 3.

Front

If a line has a slope of -1/2, what does this indicate about its direction?

Back

A slope of -1/2 indicates that for every 2 units you move to the right, the line moves down 1 unit.

Front

Convert the point-slope form equation y - y1 = m(x - x1) to slope-intercept form.

Back

To convert, solve for y: y = mx - mx1 + y1.

Front

What is the point-slope form of a line with slope m = 3 through the point (1, 2)?

Back

y - 2 = 3(x - 1).

Front

How do you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope (m).

Front

Write the equation of a line in slope-intercept form that passes through the point (0, -4) with a slope of 1.

Back

y = 1x - 4 or y = x - 4.

Front

What is the significance of a slope of 0 in a linear equation?

Back

A slope of 0 indicates a horizontal line, meaning the y-value remains constant regardless of x.