Write Linear Equations in 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 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

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

Write the equation of a line with a slope of 2 that passes through the point (1, 3).

Back

y = 2x + 1.

Front

What is the slope of the line represented by the equation y = -5x + 4?

Back

The slope of the line is -5.

Front

How do you convert the equation 3x + 2y = 6 into slope-intercept form?

Back

Rearranging gives y = -3/2x + 3.

Front

What is the slope of the line that passes through the points (2, 4) and (6, 8)?

Back

The slope is 1.

Front

Write the equation of a line in slope-intercept form that has a slope of -1 and passes through (0, 2).

Back

y = -x + 2.