Writing 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

What does the 'm' represent in the equation y = mx + b?

Back

The 'm' represents the slope of the line.

Front

What does the 'b' represent in the equation y = mx + b?

Back

The 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you find the slope (m) between two points (x1, y1) and (x2, y2)?

Back

The slope is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of the line represented by the equation y = 2x + 3?

Back

The y-intercept is 3.

Front

Write the equation of the line that passes through the points (0, 6) and (6, 18).

Back

Front

Write the equation of the line that passes through the points (0, -2) and (1, -3).

Back

Front

Write the equation of the line that passes through the points (5, -4) and (0, -3).

Back

Front

What is the formula to convert a point-slope equation to slope-intercept form?

Back

To convert, rearrange the equation y - y1 = m(x - x1) to the form y = mx + b.

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.